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Finding the Fourth Proportional to 1,344.97, 1,856.00 and 747.49

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Solution

The fourth proportional to 1,344.97, 1,856.00 and 747.49 is: 1,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.97 : 1,856.00 = 747.49 : x
  2. Step 2: Convert to fraction form
    1,344.97/1,856.00 = 747.49/x
  3. Step 3: Cross multiply
    1,344.97x = 1,856.00 × 747.49
  4. Step 4: Simplify right side
    1,344.97x = 1,387,343.31
  5. Step 5: Solve for x
    x = 1,387,343.31/1,344.97
  6. Step 6: Final answer
    x = 1,031.51

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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.