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Finding the Fourth Proportional to 602.55, 831.51 and 406.32

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Solution

The fourth proportional to 602.55, 831.51 and 406.32 is: 560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.55 : 831.51 = 406.32 : x
  2. Step 2: Convert to fraction form
    602.55/831.51 = 406.32/x
  3. Step 3: Cross multiply
    602.55x = 831.51 × 406.32
  4. Step 4: Simplify right side
    602.55x = 337,859.14
  5. Step 5: Solve for x
    x = 337,859.14/602.55
  6. Step 6: Final answer
    x = 560.72

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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.