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Finding the Fourth Proportional to 713.79, 1,069.20 and 550.62

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Solution

The fourth proportional to 713.79, 1,069.20 and 550.62 is: 824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.79 : 1,069.20 = 550.62 : x
  2. Step 2: Convert to fraction form
    713.79/1,069.20 = 550.62/x
  3. Step 3: Cross multiply
    713.79x = 1,069.20 × 550.62
  4. Step 4: Simplify right side
    713.79x = 588,722.90
  5. Step 5: Solve for x
    x = 588,722.90/713.79
  6. Step 6: Final answer
    x = 824.78

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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.