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Finding the Fourth Proportional to 602.61, 831.28 and 415.78

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Solution

The fourth proportional to 602.61, 831.28 and 415.78 is: 573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.61 : 831.28 = 415.78 : x
  2. Step 2: Convert to fraction form
    602.61/831.28 = 415.78/x
  3. Step 3: Cross multiply
    602.61x = 831.28 × 415.78
  4. Step 4: Simplify right side
    602.61x = 345,629.60
  5. Step 5: Solve for x
    x = 345,629.60/602.61
  6. Step 6: Final answer
    x = 573.55

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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.