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Finding the Fourth Proportional to 691.27, 1,035.32 and 568.28

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Solution

The fourth proportional to 691.27, 1,035.32 and 568.28 is: 851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.27 : 1,035.32 = 568.28 : x
  2. Step 2: Convert to fraction form
    691.27/1,035.32 = 568.28/x
  3. Step 3: Cross multiply
    691.27x = 1,035.32 × 568.28
  4. Step 4: Simplify right side
    691.27x = 588,351.40
  5. Step 5: Solve for x
    x = 588,351.40/691.27
  6. Step 6: Final answer
    x = 851.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.