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Finding the Fourth Proportional to 843.10, 1,264.83 and 258.07

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Solution

The fourth proportional to 843.10, 1,264.83 and 258.07 is: 387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.10 : 1,264.83 = 258.07 : x
  2. Step 2: Convert to fraction form
    843.10/1,264.83 = 258.07/x
  3. Step 3: Cross multiply
    843.10x = 1,264.83 × 258.07
  4. Step 4: Simplify right side
    843.10x = 326,414.68
  5. Step 5: Solve for x
    x = 326,414.68/843.10
  6. Step 6: Final answer
    x = 387.16

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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.