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Finding the Fourth Proportional to 658.62, 988.63 and 293.66

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Solution

The fourth proportional to 658.62, 988.63 and 293.66 is: 440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.62 : 988.63 = 293.66 : x
  2. Step 2: Convert to fraction form
    658.62/988.63 = 293.66/x
  3. Step 3: Cross multiply
    658.62x = 988.63 × 293.66
  4. Step 4: Simplify right side
    658.62x = 290,319.62
  5. Step 5: Solve for x
    x = 290,319.62/658.62
  6. Step 6: Final answer
    x = 440.80

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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.