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Finding the Fourth Proportional to 658.37, 987.78 and 293.42

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Solution

The fourth proportional to 658.37, 987.78 and 293.42 is: 440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.37 : 987.78 = 293.42 : x
  2. Step 2: Convert to fraction form
    658.37/987.78 = 293.42/x
  3. Step 3: Cross multiply
    658.37x = 987.78 × 293.42
  4. Step 4: Simplify right side
    658.37x = 289,829.47
  5. Step 5: Solve for x
    x = 289,829.47/658.37
  6. Step 6: Final answer
    x = 440.23

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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.