Home / 1,112.14-1,533.73-758.59

Finding the Fourth Proportional to 1,112.14, 1,533.73 and 758.59

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Solution

The fourth proportional to 1,112.14, 1,533.73 and 758.59 is: 1,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.14 : 1,533.73 = 758.59 : x
  2. Step 2: Convert to fraction form
    1,112.14/1,533.73 = 758.59/x
  3. Step 3: Cross multiply
    1,112.14x = 1,533.73 × 758.59
  4. Step 4: Simplify right side
    1,112.14x = 1,163,472.24
  5. Step 5: Solve for x
    x = 1,163,472.24/1,112.14
  6. Step 6: Final answer
    x = 1,046.16

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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.