Home / 1,343.80-2,010.52-823.69

Finding the Fourth Proportional to 1,343.80, 2,010.52 and 823.69

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Solution

The fourth proportional to 1,343.80, 2,010.52 and 823.69 is: 1,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.80 : 2,010.52 = 823.69 : x
  2. Step 2: Convert to fraction form
    1,343.80/2,010.52 = 823.69/x
  3. Step 3: Cross multiply
    1,343.80x = 2,010.52 × 823.69
  4. Step 4: Simplify right side
    1,343.80x = 1,656,045.22
  5. Step 5: Solve for x
    x = 1,656,045.22/1,343.80
  6. Step 6: Final answer
    x = 1,232.36

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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.