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Finding the Fourth Proportional to 624.52, 932.15 and 575.74

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Solution

The fourth proportional to 624.52, 932.15 and 575.74 is: 859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.52 : 932.15 = 575.74 : x
  2. Step 2: Convert to fraction form
    624.52/932.15 = 575.74/x
  3. Step 3: Cross multiply
    624.52x = 932.15 × 575.74
  4. Step 4: Simplify right side
    624.52x = 536,676.04
  5. Step 5: Solve for x
    x = 536,676.04/624.52
  6. Step 6: Final answer
    x = 859.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.