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Finding the Fourth Proportional to 527.54, 728.43 and 331.34

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Solution

The fourth proportional to 527.54, 728.43 and 331.34 is: 457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.54 : 728.43 = 331.34 : x
  2. Step 2: Convert to fraction form
    527.54/728.43 = 331.34/x
  3. Step 3: Cross multiply
    527.54x = 728.43 × 331.34
  4. Step 4: Simplify right side
    527.54x = 241,358.00
  5. Step 5: Solve for x
    x = 241,358.00/527.54
  6. Step 6: Final answer
    x = 457.52

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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.