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Finding the Fourth Proportional to 1,318.28, 1,975.59 and 769.70

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Solution

The fourth proportional to 1,318.28, 1,975.59 and 769.70 is: 1,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.28 : 1,975.59 = 769.70 : x
  2. Step 2: Convert to fraction form
    1,318.28/1,975.59 = 769.70/x
  3. Step 3: Cross multiply
    1,318.28x = 1,975.59 × 769.70
  4. Step 4: Simplify right side
    1,318.28x = 1,520,616.56
  5. Step 5: Solve for x
    x = 1,520,616.56/1,318.28
  6. Step 6: Final answer
    x = 1,153.49

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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.