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Finding the Fourth Proportional to 827.42, 1,141.89 and 478.13

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Solution

The fourth proportional to 827.42, 1,141.89 and 478.13 is: 659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.42 : 1,141.89 = 478.13 : x
  2. Step 2: Convert to fraction form
    827.42/1,141.89 = 478.13/x
  3. Step 3: Cross multiply
    827.42x = 1,141.89 × 478.13
  4. Step 4: Simplify right side
    827.42x = 545,971.87
  5. Step 5: Solve for x
    x = 545,971.87/827.42
  6. Step 6: Final answer
    x = 659.85

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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.