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Finding the Fourth Proportional to 663.96, 991.05 and 577.90

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Solution

The fourth proportional to 663.96, 991.05 and 577.90 is: 862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.96 : 991.05 = 577.90 : x
  2. Step 2: Convert to fraction form
    663.96/991.05 = 577.90/x
  3. Step 3: Cross multiply
    663.96x = 991.05 × 577.90
  4. Step 4: Simplify right side
    663.96x = 572,727.80
  5. Step 5: Solve for x
    x = 572,727.80/663.96
  6. Step 6: Final answer
    x = 862.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.