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Finding the Fourth Proportional to 843.42, 1,264.81 and 258.24

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Solution

The fourth proportional to 843.42, 1,264.81 and 258.24 is: 387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.42 : 1,264.81 = 258.24 : x
  2. Step 2: Convert to fraction form
    843.42/1,264.81 = 258.24/x
  3. Step 3: Cross multiply
    843.42x = 1,264.81 × 258.24
  4. Step 4: Simplify right side
    843.42x = 326,623.24
  5. Step 5: Solve for x
    x = 326,623.24/843.42
  6. Step 6: Final answer
    x = 387.26

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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.