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Finding the Fourth Proportional to 1,693.49, 2,540.33 and 769.12

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Solution

The fourth proportional to 1,693.49, 2,540.33 and 769.12 is: 1,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.49 : 2,540.33 = 769.12 : x
  2. Step 2: Convert to fraction form
    1,693.49/2,540.33 = 769.12/x
  3. Step 3: Cross multiply
    1,693.49x = 2,540.33 × 769.12
  4. Step 4: Simplify right side
    1,693.49x = 1,953,818.61
  5. Step 5: Solve for x
    x = 1,953,818.61/1,693.49
  6. Step 6: Final answer
    x = 1,153.72

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1.5x scale

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.