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Finding the Fourth Proportional to 1,465.67, 2,195.92 and 770.69

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Solution

The fourth proportional to 1,465.67, 2,195.92 and 770.69 is: 1,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.67 : 2,195.92 = 770.69 : x
  2. Step 2: Convert to fraction form
    1,465.67/2,195.92 = 770.69/x
  3. Step 3: Cross multiply
    1,465.67x = 2,195.92 × 770.69
  4. Step 4: Simplify right side
    1,465.67x = 1,692,380.04
  5. Step 5: Solve for x
    x = 1,692,380.04/1,465.67
  6. Step 6: Final answer
    x = 1,154.68

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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.