Home / 1,131.10-1,696.20-400.30

Finding the Fourth Proportional to 1,131.10, 1,696.20 and 400.30

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Solution

The fourth proportional to 1,131.10, 1,696.20 and 400.30 is: 600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.10 : 1,696.20 = 400.30 : x
  2. Step 2: Convert to fraction form
    1,131.10/1,696.20 = 400.30/x
  3. Step 3: Cross multiply
    1,131.10x = 1,696.20 × 400.30
  4. Step 4: Simplify right side
    1,131.10x = 678,988.86
  5. Step 5: Solve for x
    x = 678,988.86/1,131.10
  6. Step 6: Final answer
    x = 600.29

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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.