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Finding the Fourth Proportional to 1,034.92, 1,428.12 and 569.20

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Solution

The fourth proportional to 1,034.92, 1,428.12 and 569.20 is: 785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.92 : 1,428.12 = 569.20 : x
  2. Step 2: Convert to fraction form
    1,034.92/1,428.12 = 569.20/x
  3. Step 3: Cross multiply
    1,034.92x = 1,428.12 × 569.20
  4. Step 4: Simplify right side
    1,034.92x = 812,885.90
  5. Step 5: Solve for x
    x = 812,885.90/1,034.92
  6. Step 6: Final answer
    x = 785.46

Related Problems

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Half scale
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Double scale
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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.