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Finding the Fourth Proportional to 502.69, 753.45 and 338.20

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Solution

The fourth proportional to 502.69, 753.45 and 338.20 is: 506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.69 : 753.45 = 338.20 : x
  2. Step 2: Convert to fraction form
    502.69/753.45 = 338.20/x
  3. Step 3: Cross multiply
    502.69x = 753.45 × 338.20
  4. Step 4: Simplify right side
    502.69x = 254,816.79
  5. Step 5: Solve for x
    x = 254,816.79/502.69
  6. Step 6: Final answer
    x = 506.91

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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.