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Finding the Fourth Proportional to 971.92, 1,458.80 and 647.76

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Solution

The fourth proportional to 971.92, 1,458.80 and 647.76 is: 972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.92 : 1,458.80 = 647.76 : x
  2. Step 2: Convert to fraction form
    971.92/1,458.80 = 647.76/x
  3. Step 3: Cross multiply
    971.92x = 1,458.80 × 647.76
  4. Step 4: Simplify right side
    971.92x = 944,952.29
  5. Step 5: Solve for x
    x = 944,952.29/971.92
  6. Step 6: Final answer
    x = 972.25

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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.