Home / 1,357.24-2,033.76-740.32

Finding the Fourth Proportional to 1,357.24, 2,033.76 and 740.32

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Solution

The fourth proportional to 1,357.24, 2,033.76 and 740.32 is: 1,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.24 : 2,033.76 = 740.32 : x
  2. Step 2: Convert to fraction form
    1,357.24/2,033.76 = 740.32/x
  3. Step 3: Cross multiply
    1,357.24x = 2,033.76 × 740.32
  4. Step 4: Simplify right side
    1,357.24x = 1,505,633.20
  5. Step 5: Solve for x
    x = 1,505,633.20/1,357.24
  6. Step 6: Final answer
    x = 1,109.33

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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.