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Finding the Fourth Proportional to 624.66, 935.76 and 509.25

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Solution

The fourth proportional to 624.66, 935.76 and 509.25 is: 762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.66 : 935.76 = 509.25 : x
  2. Step 2: Convert to fraction form
    624.66/935.76 = 509.25/x
  3. Step 3: Cross multiply
    624.66x = 935.76 × 509.25
  4. Step 4: Simplify right side
    624.66x = 476,535.78
  5. Step 5: Solve for x
    x = 476,535.78/624.66
  6. Step 6: Final answer
    x = 762.87

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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.