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Finding the Fourth Proportional to 874.14, 1,312.95 and 523.43

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Solution

The fourth proportional to 874.14, 1,312.95 and 523.43 is: 786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.14 : 1,312.95 = 523.43 : x
  2. Step 2: Convert to fraction form
    874.14/1,312.95 = 523.43/x
  3. Step 3: Cross multiply
    874.14x = 1,312.95 × 523.43
  4. Step 4: Simplify right side
    874.14x = 687,230.85
  5. Step 5: Solve for x
    x = 687,230.85/874.14
  6. Step 6: Final answer
    x = 786.18

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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.