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Finding the Fourth Proportional to 1,344.97, 1,856.25 and 755.55

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Solution

The fourth proportional to 1,344.97, 1,856.25 and 755.55 is: 1,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.97 : 1,856.25 = 755.55 : x
  2. Step 2: Convert to fraction form
    1,344.97/1,856.25 = 755.55/x
  3. Step 3: Cross multiply
    1,344.97x = 1,856.25 × 755.55
  4. Step 4: Simplify right side
    1,344.97x = 1,402,489.69
  5. Step 5: Solve for x
    x = 1,402,489.69/1,344.97
  6. Step 6: Final answer
    x = 1,042.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.