Home / 1,180.16-1,770.24-400.17

Finding the Fourth Proportional to 1,180.16, 1,770.24 and 400.17

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Solution

The fourth proportional to 1,180.16, 1,770.24 and 400.17 is: 600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.16 : 1,770.24 = 400.17 : x
  2. Step 2: Convert to fraction form
    1,180.16/1,770.24 = 400.17/x
  3. Step 3: Cross multiply
    1,180.16x = 1,770.24 × 400.17
  4. Step 4: Simplify right side
    1,180.16x = 708,396.94
  5. Step 5: Solve for x
    x = 708,396.94/1,180.16
  6. Step 6: Final answer
    x = 600.26

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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.