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Finding the Fourth Proportional to 832.80, 1,242.12 and 755.04

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Solution

The fourth proportional to 832.80, 1,242.12 and 755.04 is: 1,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.80 : 1,242.12 = 755.04 : x
  2. Step 2: Convert to fraction form
    832.80/1,242.12 = 755.04/x
  3. Step 3: Cross multiply
    832.80x = 1,242.12 × 755.04
  4. Step 4: Simplify right side
    832.80x = 937,850.28
  5. Step 5: Solve for x
    x = 937,850.28/832.80
  6. Step 6: Final answer
    x = 1,126.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.