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Finding the Fourth Proportional to 875.92, 1,209.78 and 580.66

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Solution

The fourth proportional to 875.92, 1,209.78 and 580.66 is: 801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.92 : 1,209.78 = 580.66 : x
  2. Step 2: Convert to fraction form
    875.92/1,209.78 = 580.66/x
  3. Step 3: Cross multiply
    875.92x = 1,209.78 × 580.66
  4. Step 4: Simplify right side
    875.92x = 702,470.85
  5. Step 5: Solve for x
    x = 702,470.85/875.92
  6. Step 6: Final answer
    x = 801.98

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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.