Home / 1,324.69-1,828.10-727.24

Finding the Fourth Proportional to 1,324.69, 1,828.10 and 727.24

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Solution

The fourth proportional to 1,324.69, 1,828.10 and 727.24 is: 1,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.69 : 1,828.10 = 727.24 : x
  2. Step 2: Convert to fraction form
    1,324.69/1,828.10 = 727.24/x
  3. Step 3: Cross multiply
    1,324.69x = 1,828.10 × 727.24
  4. Step 4: Simplify right side
    1,324.69x = 1,329,466.60
  5. Step 5: Solve for x
    x = 1,329,466.60/1,324.69
  6. Step 6: Final answer
    x = 1,003.60

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Half scale
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Double scale
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1.5x scale

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.