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Finding the Fourth Proportional to 527.62, 728.08 and 306.53

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Solution

The fourth proportional to 527.62, 728.08 and 306.53 is: 422.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.62 : 728.08 = 306.53 : x
  2. Step 2: Convert to fraction form
    527.62/728.08 = 306.53/x
  3. Step 3: Cross multiply
    527.62x = 728.08 × 306.53
  4. Step 4: Simplify right side
    527.62x = 223,176.83
  5. Step 5: Solve for x
    x = 223,176.83/527.62
  6. Step 6: Final answer
    x = 422.99

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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.