Home / 1,559.72-2,338.89-829.13

Finding the Fourth Proportional to 1,559.72, 2,338.89 and 829.13

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Solution

The fourth proportional to 1,559.72, 2,338.89 and 829.13 is: 1,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.72 : 2,338.89 = 829.13 : x
  2. Step 2: Convert to fraction form
    1,559.72/2,338.89 = 829.13/x
  3. Step 3: Cross multiply
    1,559.72x = 2,338.89 × 829.13
  4. Step 4: Simplify right side
    1,559.72x = 1,939,232.17
  5. Step 5: Solve for x
    x = 1,939,232.17/1,559.72
  6. Step 6: Final answer
    x = 1,243.32

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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.