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Finding the Fourth Proportional to 658.80, 910.44 and 493.56

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Solution

The fourth proportional to 658.80, 910.44 and 493.56 is: 682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.80 : 910.44 = 493.56 : x
  2. Step 2: Convert to fraction form
    658.80/910.44 = 493.56/x
  3. Step 3: Cross multiply
    658.80x = 910.44 × 493.56
  4. Step 4: Simplify right side
    658.80x = 449,356.77
  5. Step 5: Solve for x
    x = 449,356.77/658.80
  6. Step 6: Final answer
    x = 682.08

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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.