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Finding the Fourth Proportional to 655.54, 978.86 and 577.88

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Solution

The fourth proportional to 655.54, 978.86 and 577.88 is: 862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.54 : 978.86 = 577.88 : x
  2. Step 2: Convert to fraction form
    655.54/978.86 = 577.88/x
  3. Step 3: Cross multiply
    655.54x = 978.86 × 577.88
  4. Step 4: Simplify right side
    655.54x = 565,663.62
  5. Step 5: Solve for x
    x = 565,663.62/655.54
  6. Step 6: Final answer
    x = 862.90

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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.