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Finding the Fourth Proportional to 1,144.68, 1,715.81 and 656.70

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Solution

The fourth proportional to 1,144.68, 1,715.81 and 656.70 is: 984.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.68 : 1,715.81 = 656.70 : x
  2. Step 2: Convert to fraction form
    1,144.68/1,715.81 = 656.70/x
  3. Step 3: Cross multiply
    1,144.68x = 1,715.81 × 656.70
  4. Step 4: Simplify right side
    1,144.68x = 1,126,769.14
  5. Step 5: Solve for x
    x = 1,126,769.14/1,144.68
  6. Step 6: Final answer
    x = 984.35

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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.