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Finding the Fourth Proportional to 827.61, 1,140.90 and 578.15

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Solution

The fourth proportional to 827.61, 1,140.90 and 578.15 is: 797.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.61 : 1,140.90 = 578.15 : x
  2. Step 2: Convert to fraction form
    827.61/1,140.90 = 578.15/x
  3. Step 3: Cross multiply
    827.61x = 1,140.90 × 578.15
  4. Step 4: Simplify right side
    827.61x = 659,614.97
  5. Step 5: Solve for x
    x = 659,614.97/827.61
  6. Step 6: Final answer
    x = 797.01

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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.