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Finding the Fourth Proportional to 724.98, 999.78 and 585.02

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Solution

The fourth proportional to 724.98, 999.78 and 585.02 is: 806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.98 : 999.78 = 585.02 : x
  2. Step 2: Convert to fraction form
    724.98/999.78 = 585.02/x
  3. Step 3: Cross multiply
    724.98x = 999.78 × 585.02
  4. Step 4: Simplify right side
    724.98x = 584,886.30
  5. Step 5: Solve for x
    x = 584,886.30/724.98
  6. Step 6: Final answer
    x = 806.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.