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Finding the Fourth Proportional to 827.28, 1,141.56 and 477.90

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Solution

The fourth proportional to 827.28, 1,141.56 and 477.90 is: 659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.28 : 1,141.56 = 477.90 : x
  2. Step 2: Convert to fraction form
    827.28/1,141.56 = 477.90/x
  3. Step 3: Cross multiply
    827.28x = 1,141.56 × 477.90
  4. Step 4: Simplify right side
    827.28x = 545,551.52
  5. Step 5: Solve for x
    x = 545,551.52/827.28
  6. Step 6: Final answer
    x = 659.45

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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.