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Finding the Fourth Proportional to 943.46, 1,408.29 and 874.85

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Solution

The fourth proportional to 943.46, 1,408.29 and 874.85 is: 1,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.46 : 1,408.29 = 874.85 : x
  2. Step 2: Convert to fraction form
    943.46/1,408.29 = 874.85/x
  3. Step 3: Cross multiply
    943.46x = 1,408.29 × 874.85
  4. Step 4: Simplify right side
    943.46x = 1,232,048.61
  5. Step 5: Solve for x
    x = 1,232,048.61/943.46
  6. Step 6: Final answer
    x = 1,305.88

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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.