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Finding the Fourth Proportional to 971.92, 1,458.69 and 539.38

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Solution

The fourth proportional to 971.92, 1,458.69 and 539.38 is: 809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.92 : 1,458.69 = 539.38 : x
  2. Step 2: Convert to fraction form
    971.92/1,458.69 = 539.38/x
  3. Step 3: Cross multiply
    971.92x = 1,458.69 × 539.38
  4. Step 4: Simplify right side
    971.92x = 786,788.21
  5. Step 5: Solve for x
    x = 786,788.21/971.92
  6. Step 6: Final answer
    x = 809.52

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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.