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Finding the Fourth Proportional to 712.11, 974.25 and 709.03

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Solution

The fourth proportional to 712.11, 974.25 and 709.03 is: 970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.11 : 974.25 = 709.03 : x
  2. Step 2: Convert to fraction form
    712.11/974.25 = 709.03/x
  3. Step 3: Cross multiply
    712.11x = 974.25 × 709.03
  4. Step 4: Simplify right side
    712.11x = 690,772.48
  5. Step 5: Solve for x
    x = 690,772.48/712.11
  6. Step 6: Final answer
    x = 970.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.