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Finding the Fourth Proportional to 724.66, 1,084.68 and 579.16

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Solution

The fourth proportional to 724.66, 1,084.68 and 579.16 is: 866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.66 : 1,084.68 = 579.16 : x
  2. Step 2: Convert to fraction form
    724.66/1,084.68 = 579.16/x
  3. Step 3: Cross multiply
    724.66x = 1,084.68 × 579.16
  4. Step 4: Simplify right side
    724.66x = 628,203.27
  5. Step 5: Solve for x
    x = 628,203.27/724.66
  6. Step 6: Final answer
    x = 866.89

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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.