Home / 1,764.21-2,646.62-724.78

Finding the Fourth Proportional to 1,764.21, 2,646.62 and 724.78

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Solution

The fourth proportional to 1,764.21, 2,646.62 and 724.78 is: 1,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.21 : 2,646.62 = 724.78 : x
  2. Step 2: Convert to fraction form
    1,764.21/2,646.62 = 724.78/x
  3. Step 3: Cross multiply
    1,764.21x = 2,646.62 × 724.78
  4. Step 4: Simplify right side
    1,764.21x = 1,918,217.24
  5. Step 5: Solve for x
    x = 1,918,217.24/1,764.21
  6. Step 6: Final answer
    x = 1,087.30

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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.