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Finding the Fourth Proportional to 658.96, 909.44 and 492.88

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Solution

The fourth proportional to 658.96, 909.44 and 492.88 is: 680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.96 : 909.44 = 492.88 : x
  2. Step 2: Convert to fraction form
    658.96/909.44 = 492.88/x
  3. Step 3: Cross multiply
    658.96x = 909.44 × 492.88
  4. Step 4: Simplify right side
    658.96x = 448,244.79
  5. Step 5: Solve for x
    x = 448,244.79/658.96
  6. Step 6: Final answer
    x = 680.23

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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.