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Finding the Fourth Proportional to 602.30, 831.53 and 406.01

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Solution

The fourth proportional to 602.30, 831.53 and 406.01 is: 560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.30 : 831.53 = 406.01 : x
  2. Step 2: Convert to fraction form
    602.30/831.53 = 406.01/x
  3. Step 3: Cross multiply
    602.30x = 831.53 × 406.01
  4. Step 4: Simplify right side
    602.30x = 337,609.50
  5. Step 5: Solve for x
    x = 337,609.50/602.30
  6. Step 6: Final answer
    x = 560.53

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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.