Home / 1,633.11-2,449.60-400.46

Finding the Fourth Proportional to 1,633.11, 2,449.60 and 400.46

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Solution

The fourth proportional to 1,633.11, 2,449.60 and 400.46 is: 600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.11 : 2,449.60 = 400.46 : x
  2. Step 2: Convert to fraction form
    1,633.11/2,449.60 = 400.46/x
  3. Step 3: Cross multiply
    1,633.11x = 2,449.60 × 400.46
  4. Step 4: Simplify right side
    1,633.11x = 980,966.82
  5. Step 5: Solve for x
    x = 980,966.82/1,633.11
  6. Step 6: Final answer
    x = 600.67

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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.