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Finding the Fourth Proportional to 724.91, 1,085.89 and 578.91

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Solution

The fourth proportional to 724.91, 1,085.89 and 578.91 is: 867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.91 : 1,085.89 = 578.91 : x
  2. Step 2: Convert to fraction form
    724.91/1,085.89 = 578.91/x
  3. Step 3: Cross multiply
    724.91x = 1,085.89 × 578.91
  4. Step 4: Simplify right side
    724.91x = 628,628.60
  5. Step 5: Solve for x
    x = 628,628.60/724.91
  6. Step 6: Final answer
    x = 867.18

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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.