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Finding the Fourth Proportional to 624.12, 934.56 and 502.80

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Solution

The fourth proportional to 624.12, 934.56 and 502.80 is: 752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.12 : 934.56 = 502.80 : x
  2. Step 2: Convert to fraction form
    624.12/934.56 = 502.80/x
  3. Step 3: Cross multiply
    624.12x = 934.56 × 502.80
  4. Step 4: Simplify right side
    624.12x = 469,896.77
  5. Step 5: Solve for x
    x = 469,896.77/624.12
  6. Step 6: Final answer
    x = 752.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.