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Finding the Fourth Proportional to 602.42, 831.09 and 405.99

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Solution

The fourth proportional to 602.42, 831.09 and 405.99 is: 560.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.42 : 831.09 = 405.99 : x
  2. Step 2: Convert to fraction form
    602.42/831.09 = 405.99/x
  3. Step 3: Cross multiply
    602.42x = 831.09 × 405.99
  4. Step 4: Simplify right side
    602.42x = 337,416.31
  5. Step 5: Solve for x
    x = 337,416.31/602.42
  6. Step 6: Final answer
    x = 560.10

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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.