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Finding the Fourth Proportional to 827.62, 1,140.14 and 578.48

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Solution

The fourth proportional to 827.62, 1,140.14 and 578.48 is: 796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.62 : 1,140.14 = 578.48 : x
  2. Step 2: Convert to fraction form
    827.62/1,140.14 = 578.48/x
  3. Step 3: Cross multiply
    827.62x = 1,140.14 × 578.48
  4. Step 4: Simplify right side
    827.62x = 659,543.93
  5. Step 5: Solve for x
    x = 659,543.93/827.62
  6. Step 6: Final answer
    x = 796.92

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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.