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Finding the Fourth Proportional to 1,297.77, 1,947.35 and 991.59

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Solution

The fourth proportional to 1,297.77, 1,947.35 and 991.59 is: 1,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.77 : 1,947.35 = 991.59 : x
  2. Step 2: Convert to fraction form
    1,297.77/1,947.35 = 991.59/x
  3. Step 3: Cross multiply
    1,297.77x = 1,947.35 × 991.59
  4. Step 4: Simplify right side
    1,297.77x = 1,930,972.79
  5. Step 5: Solve for x
    x = 1,930,972.79/1,297.77
  6. Step 6: Final answer
    x = 1,487.92

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1.5x scale

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.