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Finding the Fourth Proportional to 866.98, 1,197.24 and 557.02

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Solution

The fourth proportional to 866.98, 1,197.24 and 557.02 is: 769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.98 : 1,197.24 = 557.02 : x
  2. Step 2: Convert to fraction form
    866.98/1,197.24 = 557.02/x
  3. Step 3: Cross multiply
    866.98x = 1,197.24 × 557.02
  4. Step 4: Simplify right side
    866.98x = 666,886.62
  5. Step 5: Solve for x
    x = 666,886.62/866.98
  6. Step 6: Final answer
    x = 769.21

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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.