Home / 1,555.23-2,330.82-823.26

Finding the Fourth Proportional to 1,555.23, 2,330.82 and 823.26

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Solution

The fourth proportional to 1,555.23, 2,330.82 and 823.26 is: 1,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.23 : 2,330.82 = 823.26 : x
  2. Step 2: Convert to fraction form
    1,555.23/2,330.82 = 823.26/x
  3. Step 3: Cross multiply
    1,555.23x = 2,330.82 × 823.26
  4. Step 4: Simplify right side
    1,555.23x = 1,918,870.87
  5. Step 5: Solve for x
    x = 1,918,870.87/1,555.23
  6. Step 6: Final answer
    x = 1,233.82

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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.