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Finding the Fourth Proportional to 874.13, 1,311.51 and 387.23

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Solution

The fourth proportional to 874.13, 1,311.51 and 387.23 is: 580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.13 : 1,311.51 = 387.23 : x
  2. Step 2: Convert to fraction form
    874.13/1,311.51 = 387.23/x
  3. Step 3: Cross multiply
    874.13x = 1,311.51 × 387.23
  4. Step 4: Simplify right side
    874.13x = 507,856.02
  5. Step 5: Solve for x
    x = 507,856.02/874.13
  6. Step 6: Final answer
    x = 580.98

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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.