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Finding the Fourth Proportional to 658.08, 988.05 and 577.89

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Solution

The fourth proportional to 658.08, 988.05 and 577.89 is: 867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.08 : 988.05 = 577.89 : x
  2. Step 2: Convert to fraction form
    658.08/988.05 = 577.89/x
  3. Step 3: Cross multiply
    658.08x = 988.05 × 577.89
  4. Step 4: Simplify right side
    658.08x = 570,984.21
  5. Step 5: Solve for x
    x = 570,984.21/658.08
  6. Step 6: Final answer
    x = 867.65

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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.