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Finding the Fourth Proportional to 843.32, 1,264.36 and 453.28

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Solution

The fourth proportional to 843.32, 1,264.36 and 453.28 is: 679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.32 : 1,264.36 = 453.28 : x
  2. Step 2: Convert to fraction form
    843.32/1,264.36 = 453.28/x
  3. Step 3: Cross multiply
    843.32x = 1,264.36 × 453.28
  4. Step 4: Simplify right side
    843.32x = 573,109.10
  5. Step 5: Solve for x
    x = 573,109.10/843.32
  6. Step 6: Final answer
    x = 679.59

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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.