Home / 1,112.16-1,535.40-739.20

Finding the Fourth Proportional to 1,112.16, 1,535.40 and 739.20

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Solution

The fourth proportional to 1,112.16, 1,535.40 and 739.20 is: 1,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.16 : 1,535.40 = 739.20 : x
  2. Step 2: Convert to fraction form
    1,112.16/1,535.40 = 739.20/x
  3. Step 3: Cross multiply
    1,112.16x = 1,535.40 × 739.20
  4. Step 4: Simplify right side
    1,112.16x = 1,134,967.68
  5. Step 5: Solve for x
    x = 1,134,967.68/1,112.16
  6. Step 6: Final answer
    x = 1,020.51

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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.