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Finding the Fourth Proportional to 540.16, 748.48 and 528.64

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Solution

The fourth proportional to 540.16, 748.48 and 528.64 is: 732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.16 : 748.48 = 528.64 : x
  2. Step 2: Convert to fraction form
    540.16/748.48 = 528.64/x
  3. Step 3: Cross multiply
    540.16x = 748.48 × 528.64
  4. Step 4: Simplify right side
    540.16x = 395,676.47
  5. Step 5: Solve for x
    x = 395,676.47/540.16
  6. Step 6: Final answer
    x = 732.52

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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.