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Finding the Fourth Proportional to 843.07, 1,264.45 and 257.93

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Solution

The fourth proportional to 843.07, 1,264.45 and 257.93 is: 386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.07 : 1,264.45 = 257.93 : x
  2. Step 2: Convert to fraction form
    843.07/1,264.45 = 257.93/x
  3. Step 3: Cross multiply
    843.07x = 1,264.45 × 257.93
  4. Step 4: Simplify right side
    843.07x = 326,139.59
  5. Step 5: Solve for x
    x = 326,139.59/843.07
  6. Step 6: Final answer
    x = 386.85

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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.