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Finding the Fourth Proportional to 1,142.92, 1,577.34 and 645.70

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Solution

The fourth proportional to 1,142.92, 1,577.34 and 645.70 is: 891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.92 : 1,577.34 = 645.70 : x
  2. Step 2: Convert to fraction form
    1,142.92/1,577.34 = 645.70/x
  3. Step 3: Cross multiply
    1,142.92x = 1,577.34 × 645.70
  4. Step 4: Simplify right side
    1,142.92x = 1,018,488.44
  5. Step 5: Solve for x
    x = 1,018,488.44/1,142.92
  6. Step 6: Final answer
    x = 891.13

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,143.92, 1,578.72 and 646.70
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.