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Finding the Fourth Proportional to 724.30, 999.98 and 558.18

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Solution

The fourth proportional to 724.30, 999.98 and 558.18 is: 770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.30 : 999.98 = 558.18 : x
  2. Step 2: Convert to fraction form
    724.30/999.98 = 558.18/x
  3. Step 3: Cross multiply
    724.30x = 999.98 × 558.18
  4. Step 4: Simplify right side
    724.30x = 558,168.84
  5. Step 5: Solve for x
    x = 558,168.84/724.30
  6. Step 6: Final answer
    x = 770.63

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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.