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Finding the Fourth Proportional to 827.16, 1,141.62 and 478.05

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Solution

The fourth proportional to 827.16, 1,141.62 and 478.05 is: 659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.16 : 1,141.62 = 478.05 : x
  2. Step 2: Convert to fraction form
    827.16/1,141.62 = 478.05/x
  3. Step 3: Cross multiply
    827.16x = 1,141.62 × 478.05
  4. Step 4: Simplify right side
    827.16x = 545,745.37
  5. Step 5: Solve for x
    x = 545,745.37/827.16
  6. Step 6: Final answer
    x = 659.79

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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.