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Finding the Fourth Proportional to 874.40, 1,305.11 and 756.74

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Solution

The fourth proportional to 874.40, 1,305.11 and 756.74 is: 1,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.40 : 1,305.11 = 756.74 : x
  2. Step 2: Convert to fraction form
    874.40/1,305.11 = 756.74/x
  3. Step 3: Cross multiply
    874.40x = 1,305.11 × 756.74
  4. Step 4: Simplify right side
    874.40x = 987,634.10
  5. Step 5: Solve for x
    x = 987,634.10/874.40
  6. Step 6: Final answer
    x = 1,129.51

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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.