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Finding the Fourth Proportional to 843.46, 1,264.24 and 355.97

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Solution

The fourth proportional to 843.46, 1,264.24 and 355.97 is: 533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.46 : 1,264.24 = 355.97 : x
  2. Step 2: Convert to fraction form
    843.46/1,264.24 = 355.97/x
  3. Step 3: Cross multiply
    843.46x = 1,264.24 × 355.97
  4. Step 4: Simplify right side
    843.46x = 450,031.51
  5. Step 5: Solve for x
    x = 450,031.51/843.46
  6. Step 6: Final answer
    x = 533.55

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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.