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Finding the Fourth Proportional to 502.60, 752.74 and 485.30

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Solution

The fourth proportional to 502.60, 752.74 and 485.30 is: 726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.60 : 752.74 = 485.30 : x
  2. Step 2: Convert to fraction form
    502.60/752.74 = 485.30/x
  3. Step 3: Cross multiply
    502.60x = 752.74 × 485.30
  4. Step 4: Simplify right side
    502.60x = 365,304.72
  5. Step 5: Solve for x
    x = 365,304.72/502.60
  6. Step 6: Final answer
    x = 726.83

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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.