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Finding the Fourth Proportional to 523.50, 721.49 and 429.95

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Solution

The fourth proportional to 523.50, 721.49 and 429.95 is: 592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 721.49 = 429.95 : x
  2. Step 2: Convert to fraction form
    523.50/721.49 = 429.95/x
  3. Step 3: Cross multiply
    523.50x = 721.49 × 429.95
  4. Step 4: Simplify right side
    523.50x = 310,201.02
  5. Step 5: Solve for x
    x = 310,201.02/523.50
  6. Step 6: Final answer
    x = 592.55

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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.