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Finding the Fourth Proportional to 503.62, 691.18 and 489.95

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Solution

The fourth proportional to 503.62, 691.18 and 489.95 is: 672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.62 : 691.18 = 489.95 : x
  2. Step 2: Convert to fraction form
    503.62/691.18 = 489.95/x
  3. Step 3: Cross multiply
    503.62x = 691.18 × 489.95
  4. Step 4: Simplify right side
    503.62x = 338,644.31
  5. Step 5: Solve for x
    x = 338,644.31/503.62
  6. Step 6: Final answer
    x = 672.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.