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Finding the Fourth Proportional to 877.53, 1,316.29 and 261.23

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Solution

The fourth proportional to 877.53, 1,316.29 and 261.23 is: 391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.53 : 1,316.29 = 261.23 : x
  2. Step 2: Convert to fraction form
    877.53/1,316.29 = 261.23/x
  3. Step 3: Cross multiply
    877.53x = 1,316.29 × 261.23
  4. Step 4: Simplify right side
    877.53x = 343,858.38
  5. Step 5: Solve for x
    x = 343,858.38/877.53
  6. Step 6: Final answer
    x = 391.85

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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.