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Finding the Fourth Proportional to 971.69, 1,456.28 and 508.30

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Solution

The fourth proportional to 971.69, 1,456.28 and 508.30 is: 761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.69 : 1,456.28 = 508.30 : x
  2. Step 2: Convert to fraction form
    971.69/1,456.28 = 508.30/x
  3. Step 3: Cross multiply
    971.69x = 1,456.28 × 508.30
  4. Step 4: Simplify right side
    971.69x = 740,217.30
  5. Step 5: Solve for x
    x = 740,217.30/971.69
  6. Step 6: Final answer
    x = 761.78

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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.