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Finding the Fourth Proportional to 528.78, 729.45 and 331.95

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Solution

The fourth proportional to 528.78, 729.45 and 331.95 is: 457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.78 : 729.45 = 331.95 : x
  2. Step 2: Convert to fraction form
    528.78/729.45 = 331.95/x
  3. Step 3: Cross multiply
    528.78x = 729.45 × 331.95
  4. Step 4: Simplify right side
    528.78x = 242,140.93
  5. Step 5: Solve for x
    x = 242,140.93/528.78
  6. Step 6: Final answer
    x = 457.92

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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.