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Finding the Fourth Proportional to 527.78, 791.32 and 296.70

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Solution

The fourth proportional to 527.78, 791.32 and 296.70 is: 444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.78 : 791.32 = 296.70 : x
  2. Step 2: Convert to fraction form
    527.78/791.32 = 296.70/x
  3. Step 3: Cross multiply
    527.78x = 791.32 × 296.70
  4. Step 4: Simplify right side
    527.78x = 234,784.64
  5. Step 5: Solve for x
    x = 234,784.64/527.78
  6. Step 6: Final answer
    x = 444.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.