Home / 1,100.12-1,649.73-406.83

Finding the Fourth Proportional to 1,100.12, 1,649.73 and 406.83

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Solution

The fourth proportional to 1,100.12, 1,649.73 and 406.83 is: 610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.12 : 1,649.73 = 406.83 : x
  2. Step 2: Convert to fraction form
    1,100.12/1,649.73 = 406.83/x
  3. Step 3: Cross multiply
    1,100.12x = 1,649.73 × 406.83
  4. Step 4: Simplify right side
    1,100.12x = 671,159.66
  5. Step 5: Solve for x
    x = 671,159.66/1,100.12
  6. Step 6: Final answer
    x = 610.08

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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.