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Finding the Fourth Proportional to 960, 1,436.74 and 877.84

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Solution

The fourth proportional to 960, 1,436.74 and 877.84 is: 1,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    960 : 1,436.74 = 877.84 : x
  2. Step 2: Convert to fraction form
    960/1,436.74 = 877.84/x
  3. Step 3: Cross multiply
    960x = 1,436.74 × 877.84
  4. Step 4: Simplify right side
    960x = 1,261,227.84
  5. Step 5: Solve for x
    x = 1,261,227.84/960
  6. Step 6: Final answer
    x = 1,313.78

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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.