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Finding the Fourth Proportional to 708.11, 1,061.42 and 382.79

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Solution

The fourth proportional to 708.11, 1,061.42 and 382.79 is: 573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.11 : 1,061.42 = 382.79 : x
  2. Step 2: Convert to fraction form
    708.11/1,061.42 = 382.79/x
  3. Step 3: Cross multiply
    708.11x = 1,061.42 × 382.79
  4. Step 4: Simplify right side
    708.11x = 406,295.65
  5. Step 5: Solve for x
    x = 406,295.65/708.11
  6. Step 6: Final answer
    x = 573.77

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Why These Related Problems?

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