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Finding the Fourth Proportional to 1,331.65, 1,987.22 and 1,169.68

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Solution

The fourth proportional to 1,331.65, 1,987.22 and 1,169.68 is: 1,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.65 : 1,987.22 = 1,169.68 : x
  2. Step 2: Convert to fraction form
    1,331.65/1,987.22 = 1,169.68/x
  3. Step 3: Cross multiply
    1,331.65x = 1,987.22 × 1,169.68
  4. Step 4: Simplify right side
    1,331.65x = 2,324,411.49
  5. Step 5: Solve for x
    x = 2,324,411.49/1,331.65
  6. Step 6: Final answer
    x = 1,745.51

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Double scale
Find fourth proportional to 1,332.65, 1,988.71 and 1,170.68
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.