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Finding the Fourth Proportional to 508.04, 699.96 and 397.52

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Solution

The fourth proportional to 508.04, 699.96 and 397.52 is: 547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.04 : 699.96 = 397.52 : x
  2. Step 2: Convert to fraction form
    508.04/699.96 = 397.52/x
  3. Step 3: Cross multiply
    508.04x = 699.96 × 397.52
  4. Step 4: Simplify right side
    508.04x = 278,248.10
  5. Step 5: Solve for x
    x = 278,248.10/508.04
  6. Step 6: Final answer
    x = 547.69

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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.