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Finding the Fourth Proportional to 1,118.14, 1,542.92 and 645.92

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Solution

The fourth proportional to 1,118.14, 1,542.92 and 645.92 is: 891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.14 : 1,542.92 = 645.92 : x
  2. Step 2: Convert to fraction form
    1,118.14/1,542.92 = 645.92/x
  3. Step 3: Cross multiply
    1,118.14x = 1,542.92 × 645.92
  4. Step 4: Simplify right side
    1,118.14x = 996,602.89
  5. Step 5: Solve for x
    x = 996,602.89/1,118.14
  6. Step 6: Final answer
    x = 891.30

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Double scale
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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.