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Finding the Fourth Proportional to 527.76, 728.19 and 294.87

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Solution

The fourth proportional to 527.76, 728.19 and 294.87 is: 406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.76 : 728.19 = 294.87 : x
  2. Step 2: Convert to fraction form
    527.76/728.19 = 294.87/x
  3. Step 3: Cross multiply
    527.76x = 728.19 × 294.87
  4. Step 4: Simplify right side
    527.76x = 214,721.39
  5. Step 5: Solve for x
    x = 214,721.39/527.76
  6. Step 6: Final answer
    x = 406.85

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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.