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Finding the Fourth Proportional to 971.68, 1,340.88 and 557.44

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Solution

The fourth proportional to 971.68, 1,340.88 and 557.44 is: 769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.68 : 1,340.88 = 557.44 : x
  2. Step 2: Convert to fraction form
    971.68/1,340.88 = 557.44/x
  3. Step 3: Cross multiply
    971.68x = 1,340.88 × 557.44
  4. Step 4: Simplify right side
    971.68x = 747,460.15
  5. Step 5: Solve for x
    x = 747,460.15/971.68
  6. Step 6: Final answer
    x = 769.25

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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.