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Finding the Fourth Proportional to 1,765.11, 2,646.76 and 724.69

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Solution

The fourth proportional to 1,765.11, 2,646.76 and 724.69 is: 1,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.11 : 2,646.76 = 724.69 : x
  2. Step 2: Convert to fraction form
    1,765.11/2,646.76 = 724.69/x
  3. Step 3: Cross multiply
    1,765.11x = 2,646.76 × 724.69
  4. Step 4: Simplify right side
    1,765.11x = 1,918,080.50
  5. Step 5: Solve for x
    x = 1,918,080.50/1,765.11
  6. Step 6: Final answer
    x = 1,086.66

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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.