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Finding the Fourth Proportional to 567.57, 849.69 and 431.16

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Solution

The fourth proportional to 567.57, 849.69 and 431.16 is: 645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.57 : 849.69 = 431.16 : x
  2. Step 2: Convert to fraction form
    567.57/849.69 = 431.16/x
  3. Step 3: Cross multiply
    567.57x = 849.69 × 431.16
  4. Step 4: Simplify right side
    567.57x = 366,352.34
  5. Step 5: Solve for x
    x = 366,352.34/567.57
  6. Step 6: Final answer
    x = 645.48

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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.