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Finding the Fourth Proportional to 657.72, 991.03 and 544.72

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Solution

The fourth proportional to 657.72, 991.03 and 544.72 is: 820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.72 : 991.03 = 544.72 : x
  2. Step 2: Convert to fraction form
    657.72/991.03 = 544.72/x
  3. Step 3: Cross multiply
    657.72x = 991.03 × 544.72
  4. Step 4: Simplify right side
    657.72x = 539,833.86
  5. Step 5: Solve for x
    x = 539,833.86/657.72
  6. Step 6: Final answer
    x = 820.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.