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Finding the Fourth Proportional to 874.12, 1,309.81 and 411.81

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Solution

The fourth proportional to 874.12, 1,309.81 and 411.81 is: 617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.12 : 1,309.81 = 411.81 : x
  2. Step 2: Convert to fraction form
    874.12/1,309.81 = 411.81/x
  3. Step 3: Cross multiply
    874.12x = 1,309.81 × 411.81
  4. Step 4: Simplify right side
    874.12x = 539,392.86
  5. Step 5: Solve for x
    x = 539,392.86/874.12
  6. Step 6: Final answer
    x = 617.07

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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.