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Finding the Fourth Proportional to 502.25, 752.54 and 319.23

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Solution

The fourth proportional to 502.25, 752.54 and 319.23 is: 478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.25 : 752.54 = 319.23 : x
  2. Step 2: Convert to fraction form
    502.25/752.54 = 319.23/x
  3. Step 3: Cross multiply
    502.25x = 752.54 × 319.23
  4. Step 4: Simplify right side
    502.25x = 240,231.75
  5. Step 5: Solve for x
    x = 240,231.75/502.25
  6. Step 6: Final answer
    x = 478.32

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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.