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Finding the Fourth Proportional to 877.93, 1,316.77 and 261.61

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Solution

The fourth proportional to 877.93, 1,316.77 and 261.61 is: 392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.93 : 1,316.77 = 261.61 : x
  2. Step 2: Convert to fraction form
    877.93/1,316.77 = 261.61/x
  3. Step 3: Cross multiply
    877.93x = 1,316.77 × 261.61
  4. Step 4: Simplify right side
    877.93x = 344,480.20
  5. Step 5: Solve for x
    x = 344,480.20/877.93
  6. Step 6: Final answer
    x = 392.38

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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.