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Finding the Fourth Proportional to 843.86, 1,264.74 and 381.16

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Solution

The fourth proportional to 843.86, 1,264.74 and 381.16 is: 571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.86 : 1,264.74 = 381.16 : x
  2. Step 2: Convert to fraction form
    843.86/1,264.74 = 381.16/x
  3. Step 3: Cross multiply
    843.86x = 1,264.74 × 381.16
  4. Step 4: Simplify right side
    843.86x = 482,068.30
  5. Step 5: Solve for x
    x = 482,068.30/843.86
  6. Step 6: Final answer
    x = 571.27

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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.