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Finding the Fourth Proportional to 2,065.48, 3,099.60 and 767.08

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Solution

The fourth proportional to 2,065.48, 3,099.60 and 767.08 is: 1,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.48 : 3,099.60 = 767.08 : x
  2. Step 2: Convert to fraction form
    2,065.48/3,099.60 = 767.08/x
  3. Step 3: Cross multiply
    2,065.48x = 3,099.60 × 767.08
  4. Step 4: Simplify right side
    2,065.48x = 2,377,641.17
  5. Step 5: Solve for x
    x = 2,377,641.17/2,065.48
  6. Step 6: Final answer
    x = 1,151.13

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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.