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Finding the Fourth Proportional to 657.72, 987.15 and 267.93

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Solution

The fourth proportional to 657.72, 987.15 and 267.93 is: 402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.72 : 987.15 = 267.93 : x
  2. Step 2: Convert to fraction form
    657.72/987.15 = 267.93/x
  3. Step 3: Cross multiply
    657.72x = 987.15 × 267.93
  4. Step 4: Simplify right side
    657.72x = 264,490.88
  5. Step 5: Solve for x
    x = 264,490.88/657.72
  6. Step 6: Final answer
    x = 402.13

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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.