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Finding the Fourth Proportional to 958.55, 1,322.10 and 880.11

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Solution

The fourth proportional to 958.55, 1,322.10 and 880.11 is: 1,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.55 : 1,322.10 = 880.11 : x
  2. Step 2: Convert to fraction form
    958.55/1,322.10 = 880.11/x
  3. Step 3: Cross multiply
    958.55x = 1,322.10 × 880.11
  4. Step 4: Simplify right side
    958.55x = 1,163,593.43
  5. Step 5: Solve for x
    x = 1,163,593.43/958.55
  6. Step 6: Final answer
    x = 1,213.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.