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Finding the Fourth Proportional to 549.71, 753.09 and 528.91

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Solution

The fourth proportional to 549.71, 753.09 and 528.91 is: 724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.71 : 753.09 = 528.91 : x
  2. Step 2: Convert to fraction form
    549.71/753.09 = 528.91/x
  3. Step 3: Cross multiply
    549.71x = 753.09 × 528.91
  4. Step 4: Simplify right side
    549.71x = 398,312.97
  5. Step 5: Solve for x
    x = 398,312.97/549.71
  6. Step 6: Final answer
    x = 724.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.