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Finding the Fourth Proportional to 724.17, 999.79 and 549.21

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Solution

The fourth proportional to 724.17, 999.79 and 549.21 is: 758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.17 : 999.79 = 549.21 : x
  2. Step 2: Convert to fraction form
    724.17/999.79 = 549.21/x
  3. Step 3: Cross multiply
    724.17x = 999.79 × 549.21
  4. Step 4: Simplify right side
    724.17x = 549,094.67
  5. Step 5: Solve for x
    x = 549,094.67/724.17
  6. Step 6: Final answer
    x = 758.24

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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.