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Finding the Fourth Proportional to 540.72, 749.88 and 521.28

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Solution

The fourth proportional to 540.72, 749.88 and 521.28 is: 722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.72 : 749.88 = 521.28 : x
  2. Step 2: Convert to fraction form
    540.72/749.88 = 521.28/x
  3. Step 3: Cross multiply
    540.72x = 749.88 × 521.28
  4. Step 4: Simplify right side
    540.72x = 390,897.45
  5. Step 5: Solve for x
    x = 390,897.45/540.72
  6. Step 6: Final answer
    x = 722.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.