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Finding the Fourth Proportional to 527.87, 727.49 and 411.23

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Solution

The fourth proportional to 527.87, 727.49 and 411.23 is: 566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.87 : 727.49 = 411.23 : x
  2. Step 2: Convert to fraction form
    527.87/727.49 = 411.23/x
  3. Step 3: Cross multiply
    527.87x = 727.49 × 411.23
  4. Step 4: Simplify right side
    527.87x = 299,163.66
  5. Step 5: Solve for x
    x = 299,163.66/527.87
  6. Step 6: Final answer
    x = 566.74

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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.