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Finding the Fourth Proportional to 1,377.97, 2,065.13 and 751.66

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Solution

The fourth proportional to 1,377.97, 2,065.13 and 751.66 is: 1,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.97 : 2,065.13 = 751.66 : x
  2. Step 2: Convert to fraction form
    1,377.97/2,065.13 = 751.66/x
  3. Step 3: Cross multiply
    1,377.97x = 2,065.13 × 751.66
  4. Step 4: Simplify right side
    1,377.97x = 1,552,266.69
  5. Step 5: Solve for x
    x = 1,552,266.69/1,377.97
  6. Step 6: Final answer
    x = 1,126.49

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Double scale
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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.