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Finding the Fourth Proportional to 1,382.74, 2,070.57 and 765.76

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Solution

The fourth proportional to 1,382.74, 2,070.57 and 765.76 is: 1,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.74 : 2,070.57 = 765.76 : x
  2. Step 2: Convert to fraction form
    1,382.74/2,070.57 = 765.76/x
  3. Step 3: Cross multiply
    1,382.74x = 2,070.57 × 765.76
  4. Step 4: Simplify right side
    1,382.74x = 1,585,559.68
  5. Step 5: Solve for x
    x = 1,585,559.68/1,382.74
  6. Step 6: Final answer
    x = 1,146.68

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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.