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Finding the Fourth Proportional to 877.89, 1,317.09 and 261.61

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Solution

The fourth proportional to 877.89, 1,317.09 and 261.61 is: 392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.89 : 1,317.09 = 261.61 : x
  2. Step 2: Convert to fraction form
    877.89/1,317.09 = 261.61/x
  3. Step 3: Cross multiply
    877.89x = 1,317.09 × 261.61
  4. Step 4: Simplify right side
    877.89x = 344,563.91
  5. Step 5: Solve for x
    x = 344,563.91/877.89
  6. Step 6: Final answer
    x = 392.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.