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Finding the Fourth Proportional to 602.12, 831.08 and 405.80

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Solution

The fourth proportional to 602.12, 831.08 and 405.80 is: 560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.12 : 831.08 = 405.80 : x
  2. Step 2: Convert to fraction form
    602.12/831.08 = 405.80/x
  3. Step 3: Cross multiply
    602.12x = 831.08 × 405.80
  4. Step 4: Simplify right side
    602.12x = 337,252.26
  5. Step 5: Solve for x
    x = 337,252.26/602.12
  6. Step 6: Final answer
    x = 560.11

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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.