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Finding the Fourth Proportional to 1,803.31, 2,703.13 and 878.29

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Solution

The fourth proportional to 1,803.31, 2,703.13 and 878.29 is: 1,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.31 : 2,703.13 = 878.29 : x
  2. Step 2: Convert to fraction form
    1,803.31/2,703.13 = 878.29/x
  3. Step 3: Cross multiply
    1,803.31x = 2,703.13 × 878.29
  4. Step 4: Simplify right side
    1,803.31x = 2,374,132.05
  5. Step 5: Solve for x
    x = 2,374,132.05/1,803.31
  6. Step 6: Final answer
    x = 1,316.54

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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.