Home / 1,166.24-1,609.43-635.13

Finding the Fourth Proportional to 1,166.24, 1,609.43 and 635.13

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Solution

The fourth proportional to 1,166.24, 1,609.43 and 635.13 is: 876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.24 : 1,609.43 = 635.13 : x
  2. Step 2: Convert to fraction form
    1,166.24/1,609.43 = 635.13/x
  3. Step 3: Cross multiply
    1,166.24x = 1,609.43 × 635.13
  4. Step 4: Simplify right side
    1,166.24x = 1,022,194.10
  5. Step 5: Solve for x
    x = 1,022,194.10/1,166.24
  6. Step 6: Final answer
    x = 876.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.