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Finding the Fourth Proportional to 1,386.74, 2,078.27 and 770.12

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Solution

The fourth proportional to 1,386.74, 2,078.27 and 770.12 is: 1,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.74 : 2,078.27 = 770.12 : x
  2. Step 2: Convert to fraction form
    1,386.74/2,078.27 = 770.12/x
  3. Step 3: Cross multiply
    1,386.74x = 2,078.27 × 770.12
  4. Step 4: Simplify right side
    1,386.74x = 1,600,517.29
  5. Step 5: Solve for x
    x = 1,600,517.29/1,386.74
  6. Step 6: Final answer
    x = 1,154.16

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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.