Home / 1,115.10-1,669.37-724.19

Finding the Fourth Proportional to 1,115.10, 1,669.37 and 724.19

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Solution

The fourth proportional to 1,115.10, 1,669.37 and 724.19 is: 1,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.10 : 1,669.37 = 724.19 : x
  2. Step 2: Convert to fraction form
    1,115.10/1,669.37 = 724.19/x
  3. Step 3: Cross multiply
    1,115.10x = 1,669.37 × 724.19
  4. Step 4: Simplify right side
    1,115.10x = 1,208,929.09
  5. Step 5: Solve for x
    x = 1,208,929.09/1,115.10
  6. Step 6: Final answer
    x = 1,084.14

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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.