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Finding the Fourth Proportional to 602.63, 831.37 and 405.80

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Solution

The fourth proportional to 602.63, 831.37 and 405.80 is: 559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.63 : 831.37 = 405.80 : x
  2. Step 2: Convert to fraction form
    602.63/831.37 = 405.80/x
  3. Step 3: Cross multiply
    602.63x = 831.37 × 405.80
  4. Step 4: Simplify right side
    602.63x = 337,365.79
  5. Step 5: Solve for x
    x = 337,365.79/602.63
  6. Step 6: Final answer
    x = 559.83

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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.