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Finding the Fourth Proportional to 527.74, 728.28 and 306.82

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Solution

The fourth proportional to 527.74, 728.28 and 306.82 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.74 : 728.28 = 306.82 : x
  2. Step 2: Convert to fraction form
    527.74/728.28 = 306.82/x
  3. Step 3: Cross multiply
    527.74x = 728.28 × 306.82
  4. Step 4: Simplify right side
    527.74x = 223,450.87
  5. Step 5: Solve for x
    x = 223,450.87/527.74
  6. Step 6: Final answer
    x = 423.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.