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Finding the Fourth Proportional to 874.50, 1,310.85 and 387.06

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Solution

The fourth proportional to 874.50, 1,310.85 and 387.06 is: 580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.50 : 1,310.85 = 387.06 : x
  2. Step 2: Convert to fraction form
    874.50/1,310.85 = 387.06/x
  3. Step 3: Cross multiply
    874.50x = 1,310.85 × 387.06
  4. Step 4: Simplify right side
    874.50x = 507,377.60
  5. Step 5: Solve for x
    x = 507,377.60/874.50
  6. Step 6: Final answer
    x = 580.19

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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.