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Finding the Fourth Proportional to 971.63, 1,340.85 and 557.63

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Solution

The fourth proportional to 971.63, 1,340.85 and 557.63 is: 769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.63 : 1,340.85 = 557.63 : x
  2. Step 2: Convert to fraction form
    971.63/1,340.85 = 557.63/x
  3. Step 3: Cross multiply
    971.63x = 1,340.85 × 557.63
  4. Step 4: Simplify right side
    971.63x = 747,691.48
  5. Step 5: Solve for x
    x = 747,691.48/971.63
  6. Step 6: Final answer
    x = 769.53

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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.