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Finding the Fourth Proportional to 502.48, 694.10 and 397.69

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Solution

The fourth proportional to 502.48, 694.10 and 397.69 is: 549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.48 : 694.10 = 397.69 : x
  2. Step 2: Convert to fraction form
    502.48/694.10 = 397.69/x
  3. Step 3: Cross multiply
    502.48x = 694.10 × 397.69
  4. Step 4: Simplify right side
    502.48x = 276,036.63
  5. Step 5: Solve for x
    x = 276,036.63/502.48
  6. Step 6: Final answer
    x = 549.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.