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Finding the Fourth Proportional to 827.17, 1,141.54 and 477.86

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Solution

The fourth proportional to 827.17, 1,141.54 and 477.86 is: 659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.17 : 1,141.54 = 477.86 : x
  2. Step 2: Convert to fraction form
    827.17/1,141.54 = 477.86/x
  3. Step 3: Cross multiply
    827.17x = 1,141.54 × 477.86
  4. Step 4: Simplify right side
    827.17x = 545,489.40
  5. Step 5: Solve for x
    x = 545,489.40/827.17
  6. Step 6: Final answer
    x = 659.47

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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.