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Finding the Fourth Proportional to 602.69, 831.48 and 406.34

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Solution

The fourth proportional to 602.69, 831.48 and 406.34 is: 560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.69 : 831.48 = 406.34 : x
  2. Step 2: Convert to fraction form
    602.69/831.48 = 406.34/x
  3. Step 3: Cross multiply
    602.69x = 831.48 × 406.34
  4. Step 4: Simplify right side
    602.69x = 337,859.43
  5. Step 5: Solve for x
    x = 337,859.43/602.69
  6. Step 6: Final answer
    x = 560.59

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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.