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Finding the Fourth Proportional to 657.58, 987.30 and 577.39

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Solution

The fourth proportional to 657.58, 987.30 and 577.39 is: 866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.58 : 987.30 = 577.39 : x
  2. Step 2: Convert to fraction form
    657.58/987.30 = 577.39/x
  3. Step 3: Cross multiply
    657.58x = 987.30 × 577.39
  4. Step 4: Simplify right side
    657.58x = 570,057.15
  5. Step 5: Solve for x
    x = 570,057.15/657.58
  6. Step 6: Final answer
    x = 866.90

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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.