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Finding the Fourth Proportional to 602.99, 831.92 and 406.61

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Solution

The fourth proportional to 602.99, 831.92 and 406.61 is: 560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.99 : 831.92 = 406.61 : x
  2. Step 2: Convert to fraction form
    602.99/831.92 = 406.61/x
  3. Step 3: Cross multiply
    602.99x = 831.92 × 406.61
  4. Step 4: Simplify right side
    602.99x = 338,263.85
  5. Step 5: Solve for x
    x = 338,263.85/602.99
  6. Step 6: Final answer
    x = 560.98

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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.