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Finding the Fourth Proportional to 827.76, 1,142.46 and 473.76

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Solution

The fourth proportional to 827.76, 1,142.46 and 473.76 is: 653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.76 : 1,142.46 = 473.76 : x
  2. Step 2: Convert to fraction form
    827.76/1,142.46 = 473.76/x
  3. Step 3: Cross multiply
    827.76x = 1,142.46 × 473.76
  4. Step 4: Simplify right side
    827.76x = 541,251.85
  5. Step 5: Solve for x
    x = 541,251.85/827.76
  6. Step 6: Final answer
    x = 653.88

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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.