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Finding the Fourth Proportional to 527.68, 728.09 and 353.53

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Solution

The fourth proportional to 527.68, 728.09 and 353.53 is: 487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.68 : 728.09 = 353.53 : x
  2. Step 2: Convert to fraction form
    527.68/728.09 = 353.53/x
  3. Step 3: Cross multiply
    527.68x = 728.09 × 353.53
  4. Step 4: Simplify right side
    527.68x = 257,399.89
  5. Step 5: Solve for x
    x = 257,399.89/527.68
  6. Step 6: Final answer
    x = 487.80

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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.