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Finding the Fourth Proportional to 527.80, 728.40 and 291.76

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Solution

The fourth proportional to 527.80, 728.40 and 291.76 is: 402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.80 : 728.40 = 291.76 : x
  2. Step 2: Convert to fraction form
    527.80/728.40 = 291.76/x
  3. Step 3: Cross multiply
    527.80x = 728.40 × 291.76
  4. Step 4: Simplify right side
    527.80x = 212,517.98
  5. Step 5: Solve for x
    x = 212,517.98/527.80
  6. Step 6: Final answer
    x = 402.65

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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.