Home / 1,550.34-2,324.60-769.40

Finding the Fourth Proportional to 1,550.34, 2,324.60 and 769.40

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Solution

The fourth proportional to 1,550.34, 2,324.60 and 769.40 is: 1,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.34 : 2,324.60 = 769.40 : x
  2. Step 2: Convert to fraction form
    1,550.34/2,324.60 = 769.40/x
  3. Step 3: Cross multiply
    1,550.34x = 2,324.60 × 769.40
  4. Step 4: Simplify right side
    1,550.34x = 1,788,543.37
  5. Step 5: Solve for x
    x = 1,788,543.37/1,550.34
  6. Step 6: Final answer
    x = 1,153.65

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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.