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Finding the Fourth Proportional to 527.91, 728.55 and 306.78

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Solution

The fourth proportional to 527.91, 728.55 and 306.78 is: 423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.91 : 728.55 = 306.78 : x
  2. Step 2: Convert to fraction form
    527.91/728.55 = 306.78/x
  3. Step 3: Cross multiply
    527.91x = 728.55 × 306.78
  4. Step 4: Simplify right side
    527.91x = 223,504.57
  5. Step 5: Solve for x
    x = 223,504.57/527.91
  6. Step 6: Final answer
    x = 423.38

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1.5x scale

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.