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Finding the Fourth Proportional to 1,249.71, 1,724.67 and 690.30

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Solution

The fourth proportional to 1,249.71, 1,724.67 and 690.30 is: 952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.71 : 1,724.67 = 690.30 : x
  2. Step 2: Convert to fraction form
    1,249.71/1,724.67 = 690.30/x
  3. Step 3: Cross multiply
    1,249.71x = 1,724.67 × 690.30
  4. Step 4: Simplify right side
    1,249.71x = 1,190,539.70
  5. Step 5: Solve for x
    x = 1,190,539.70/1,249.71
  6. Step 6: Final answer
    x = 952.65

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1.5x scale

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.