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Finding the Fourth Proportional to 827.91, 1,142.69 and 478.71

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Solution

The fourth proportional to 827.91, 1,142.69 and 478.71 is: 660.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.91 : 1,142.69 = 478.71 : x
  2. Step 2: Convert to fraction form
    827.91/1,142.69 = 478.71/x
  3. Step 3: Cross multiply
    827.91x = 1,142.69 × 478.71
  4. Step 4: Simplify right side
    827.91x = 547,014.74
  5. Step 5: Solve for x
    x = 547,014.74/827.91
  6. Step 6: Final answer
    x = 660.72

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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.