Home / 1,131.12-1,696.68-400.23

Finding the Fourth Proportional to 1,131.12, 1,696.68 and 400.23

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Solution

The fourth proportional to 1,131.12, 1,696.68 and 400.23 is: 600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.12 : 1,696.68 = 400.23 : x
  2. Step 2: Convert to fraction form
    1,131.12/1,696.68 = 400.23/x
  3. Step 3: Cross multiply
    1,131.12x = 1,696.68 × 400.23
  4. Step 4: Simplify right side
    1,131.12x = 679,062.24
  5. Step 5: Solve for x
    x = 679,062.24/1,131.12
  6. Step 6: Final answer
    x = 600.35

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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.