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Finding the Fourth Proportional to 657.76, 987.72 and 494.86

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Solution

The fourth proportional to 657.76, 987.72 and 494.86 is: 743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.76 : 987.72 = 494.86 : x
  2. Step 2: Convert to fraction form
    657.76/987.72 = 494.86/x
  3. Step 3: Cross multiply
    657.76x = 987.72 × 494.86
  4. Step 4: Simplify right side
    657.76x = 488,783.12
  5. Step 5: Solve for x
    x = 488,783.12/657.76
  6. Step 6: Final answer
    x = 743.10

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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.