Home / 1,140.24-1,712.79-834.06

Finding the Fourth Proportional to 1,140.24, 1,712.79 and 834.06

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Solution

The fourth proportional to 1,140.24, 1,712.79 and 834.06 is: 1,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.24 : 1,712.79 = 834.06 : x
  2. Step 2: Convert to fraction form
    1,140.24/1,712.79 = 834.06/x
  3. Step 3: Cross multiply
    1,140.24x = 1,712.79 × 834.06
  4. Step 4: Simplify right side
    1,140.24x = 1,428,569.63
  5. Step 5: Solve for x
    x = 1,428,569.63/1,140.24
  6. Step 6: Final answer
    x = 1,252.87

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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.