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Finding the Fourth Proportional to 877.78, 1,316.43 and 261.31

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Solution

The fourth proportional to 877.78, 1,316.43 and 261.31 is: 391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.78 : 1,316.43 = 261.31 : x
  2. Step 2: Convert to fraction form
    877.78/1,316.43 = 261.31/x
  3. Step 3: Cross multiply
    877.78x = 1,316.43 × 261.31
  4. Step 4: Simplify right side
    877.78x = 343,996.32
  5. Step 5: Solve for x
    x = 343,996.32/877.78
  6. Step 6: Final answer
    x = 391.89

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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.