Home / 1,649.10-2,471.49-674.09

Finding the Fourth Proportional to 1,649.10, 2,471.49 and 674.09

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Solution

The fourth proportional to 1,649.10, 2,471.49 and 674.09 is: 1,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.10 : 2,471.49 = 674.09 : x
  2. Step 2: Convert to fraction form
    1,649.10/2,471.49 = 674.09/x
  3. Step 3: Cross multiply
    1,649.10x = 2,471.49 × 674.09
  4. Step 4: Simplify right side
    1,649.10x = 1,665,994.34
  5. Step 5: Solve for x
    x = 1,665,994.34/1,649.10
  6. Step 6: Final answer
    x = 1,010.24

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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.