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Finding the Fourth Proportional to 1,213.91, 1,675.86 and 816.15

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Solution

The fourth proportional to 1,213.91, 1,675.86 and 816.15 is: 1,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.91 : 1,675.86 = 816.15 : x
  2. Step 2: Convert to fraction form
    1,213.91/1,675.86 = 816.15/x
  3. Step 3: Cross multiply
    1,213.91x = 1,675.86 × 816.15
  4. Step 4: Simplify right side
    1,213.91x = 1,367,740.68
  5. Step 5: Solve for x
    x = 1,367,740.68/1,213.91
  6. Step 6: Final answer
    x = 1,126.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.