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Finding the Fourth Proportional to 724.11, 999.78 and 558.06

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Solution

The fourth proportional to 724.11, 999.78 and 558.06 is: 770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.11 : 999.78 = 558.06 : x
  2. Step 2: Convert to fraction form
    724.11/999.78 = 558.06/x
  3. Step 3: Cross multiply
    724.11x = 999.78 × 558.06
  4. Step 4: Simplify right side
    724.11x = 557,937.23
  5. Step 5: Solve for x
    x = 557,937.23/724.11
  6. Step 6: Final answer
    x = 770.51

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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.