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Finding the Fourth Proportional to 827.66, 1,141.80 and 478.10

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Solution

The fourth proportional to 827.66, 1,141.80 and 478.10 is: 659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.66 : 1,141.80 = 478.10 : x
  2. Step 2: Convert to fraction form
    827.66/1,141.80 = 478.10/x
  3. Step 3: Cross multiply
    827.66x = 1,141.80 × 478.10
  4. Step 4: Simplify right side
    827.66x = 545,894.58
  5. Step 5: Solve for x
    x = 545,894.58/827.66
  6. Step 6: Final answer
    x = 659.56

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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.