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Finding the Fourth Proportional to 1,066.91, 1,599.95 and 489.38

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Solution

The fourth proportional to 1,066.91, 1,599.95 and 489.38 is: 733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.91 : 1,599.95 = 489.38 : x
  2. Step 2: Convert to fraction form
    1,066.91/1,599.95 = 489.38/x
  3. Step 3: Cross multiply
    1,066.91x = 1,599.95 × 489.38
  4. Step 4: Simplify right side
    1,066.91x = 782,976.75
  5. Step 5: Solve for x
    x = 782,976.75/1,066.91
  6. Step 6: Final answer
    x = 733.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.