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Finding the Fourth Proportional to 724.13, 999.74 and 558.02

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Solution

The fourth proportional to 724.13, 999.74 and 558.02 is: 770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.13 : 999.74 = 558.02 : x
  2. Step 2: Convert to fraction form
    724.13/999.74 = 558.02/x
  3. Step 3: Cross multiply
    724.13x = 999.74 × 558.02
  4. Step 4: Simplify right side
    724.13x = 557,878.81
  5. Step 5: Solve for x
    x = 557,878.81/724.13
  6. Step 6: Final answer
    x = 770.41

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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.