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Finding the Fourth Proportional to 527.76, 727.84 and 408.40

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Solution

The fourth proportional to 527.76, 727.84 and 408.40 is: 563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.76 : 727.84 = 408.40 : x
  2. Step 2: Convert to fraction form
    527.76/727.84 = 408.40/x
  3. Step 3: Cross multiply
    527.76x = 727.84 × 408.40
  4. Step 4: Simplify right side
    527.76x = 297,249.86
  5. Step 5: Solve for x
    x = 297,249.86/527.76
  6. Step 6: Final answer
    x = 563.23

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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.