Home / 1,109.36-1,664.11-560.90

Finding the Fourth Proportional to 1,109.36, 1,664.11 and 560.90

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Solution

The fourth proportional to 1,109.36, 1,664.11 and 560.90 is: 841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.36 : 1,664.11 = 560.90 : x
  2. Step 2: Convert to fraction form
    1,109.36/1,664.11 = 560.90/x
  3. Step 3: Cross multiply
    1,109.36x = 1,664.11 × 560.90
  4. Step 4: Simplify right side
    1,109.36x = 933,399.30
  5. Step 5: Solve for x
    x = 933,399.30/1,109.36
  6. Step 6: Final answer
    x = 841.39

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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.