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Finding the Fourth Proportional to 527.59, 728.09 and 306.57

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Solution

The fourth proportional to 527.59, 728.09 and 306.57 is: 423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.59 : 728.09 = 306.57 : x
  2. Step 2: Convert to fraction form
    527.59/728.09 = 306.57/x
  3. Step 3: Cross multiply
    527.59x = 728.09 × 306.57
  4. Step 4: Simplify right side
    527.59x = 223,210.55
  5. Step 5: Solve for x
    x = 223,210.55/527.59
  6. Step 6: Final answer
    x = 423.08

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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.