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Finding the Fourth Proportional to 567.57, 849.70 and 431.15

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Solution

The fourth proportional to 567.57, 849.70 and 431.15 is: 645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.57 : 849.70 = 431.15 : x
  2. Step 2: Convert to fraction form
    567.57/849.70 = 431.15/x
  3. Step 3: Cross multiply
    567.57x = 849.70 × 431.15
  4. Step 4: Simplify right side
    567.57x = 366,348.16
  5. Step 5: Solve for x
    x = 366,348.16/567.57
  6. Step 6: Final answer
    x = 645.47

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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.