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Finding the Fourth Proportional to 874.91, 1,311.32 and 436.02

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Solution

The fourth proportional to 874.91, 1,311.32 and 436.02 is: 653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.91 : 1,311.32 = 436.02 : x
  2. Step 2: Convert to fraction form
    874.91/1,311.32 = 436.02/x
  3. Step 3: Cross multiply
    874.91x = 1,311.32 × 436.02
  4. Step 4: Simplify right side
    874.91x = 571,759.57
  5. Step 5: Solve for x
    x = 571,759.57/874.91
  6. Step 6: Final answer
    x = 653.51

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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.