Home / 1,649.24-2,474.59-869.05

Finding the Fourth Proportional to 1,649.24, 2,474.59 and 869.05

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Solution

The fourth proportional to 1,649.24, 2,474.59 and 869.05 is: 1,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.24 : 2,474.59 = 869.05 : x
  2. Step 2: Convert to fraction form
    1,649.24/2,474.59 = 869.05/x
  3. Step 3: Cross multiply
    1,649.24x = 2,474.59 × 869.05
  4. Step 4: Simplify right side
    1,649.24x = 2,150,542.44
  5. Step 5: Solve for x
    x = 2,150,542.44/1,649.24
  6. Step 6: Final answer
    x = 1,303.96

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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.