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Finding the Fourth Proportional to 502.56, 752.30 and 319.70

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Solution

The fourth proportional to 502.56, 752.30 and 319.70 is: 478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.56 : 752.30 = 319.70 : x
  2. Step 2: Convert to fraction form
    502.56/752.30 = 319.70/x
  3. Step 3: Cross multiply
    502.56x = 752.30 × 319.70
  4. Step 4: Simplify right side
    502.56x = 240,510.31
  5. Step 5: Solve for x
    x = 240,510.31/502.56
  6. Step 6: Final answer
    x = 478.57

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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.