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Finding the Fourth Proportional to 874.35, 1,312.20 and 600.44

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Solution

The fourth proportional to 874.35, 1,312.20 and 600.44 is: 901.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.35 : 1,312.20 = 600.44 : x
  2. Step 2: Convert to fraction form
    874.35/1,312.20 = 600.44/x
  3. Step 3: Cross multiply
    874.35x = 1,312.20 × 600.44
  4. Step 4: Simplify right side
    874.35x = 787,890.81
  5. Step 5: Solve for x
    x = 787,890.81/874.35
  6. Step 6: Final answer
    x = 901.12

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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.