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Finding the Fourth Proportional to 843.19, 1,264.75 and 258.17

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Solution

The fourth proportional to 843.19, 1,264.75 and 258.17 is: 387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.19 : 1,264.75 = 258.17 : x
  2. Step 2: Convert to fraction form
    843.19/1,264.75 = 258.17/x
  3. Step 3: Cross multiply
    843.19x = 1,264.75 × 258.17
  4. Step 4: Simplify right side
    843.19x = 326,513.54
  5. Step 5: Solve for x
    x = 326,513.54/843.19
  6. Step 6: Final answer
    x = 387.24

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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.