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Finding the Fourth Proportional to 827.46, 1,141.92 and 478.14

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Solution

The fourth proportional to 827.46, 1,141.92 and 478.14 is: 659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.46 : 1,141.92 = 478.14 : x
  2. Step 2: Convert to fraction form
    827.46/1,141.92 = 478.14/x
  3. Step 3: Cross multiply
    827.46x = 1,141.92 × 478.14
  4. Step 4: Simplify right side
    827.46x = 545,997.63
  5. Step 5: Solve for x
    x = 545,997.63/827.46
  6. Step 6: Final answer
    x = 659.85

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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.