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Finding the Fourth Proportional to 658.77, 909.27 and 409.92

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Solution

The fourth proportional to 658.77, 909.27 and 409.92 is: 565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.77 : 909.27 = 409.92 : x
  2. Step 2: Convert to fraction form
    658.77/909.27 = 409.92/x
  3. Step 3: Cross multiply
    658.77x = 909.27 × 409.92
  4. Step 4: Simplify right side
    658.77x = 372,727.96
  5. Step 5: Solve for x
    x = 372,727.96/658.77
  6. Step 6: Final answer
    x = 565.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.