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Finding the Fourth Proportional to 1,049.50, 1,447.51 and 769.63

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Solution

The fourth proportional to 1,049.50, 1,447.51 and 769.63 is: 1,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.50 : 1,447.51 = 769.63 : x
  2. Step 2: Convert to fraction form
    1,049.50/1,447.51 = 769.63/x
  3. Step 3: Cross multiply
    1,049.50x = 1,447.51 × 769.63
  4. Step 4: Simplify right side
    1,049.50x = 1,114,047.12
  5. Step 5: Solve for x
    x = 1,114,047.12/1,049.50
  6. Step 6: Final answer
    x = 1,061.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.