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Finding the Fourth Proportional to 1,377.75, 2,065.14 and 684.66

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Solution

The fourth proportional to 1,377.75, 2,065.14 and 684.66 is: 1,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.75 : 2,065.14 = 684.66 : x
  2. Step 2: Convert to fraction form
    1,377.75/2,065.14 = 684.66/x
  3. Step 3: Cross multiply
    1,377.75x = 2,065.14 × 684.66
  4. Step 4: Simplify right side
    1,377.75x = 1,413,918.75
  5. Step 5: Solve for x
    x = 1,413,918.75/1,377.75
  6. Step 6: Final answer
    x = 1,026.25

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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.