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Finding the Fourth Proportional to 1,250.70, 1,716.72 and 1,197.24

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Solution

The fourth proportional to 1,250.70, 1,716.72 and 1,197.24 is: 1,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.70 : 1,716.72 = 1,197.24 : x
  2. Step 2: Convert to fraction form
    1,250.70/1,716.72 = 1,197.24/x
  3. Step 3: Cross multiply
    1,250.70x = 1,716.72 × 1,197.24
  4. Step 4: Simplify right side
    1,250.70x = 2,055,325.85
  5. Step 5: Solve for x
    x = 2,055,325.85/1,250.70
  6. Step 6: Final answer
    x = 1,643.34

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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.