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Finding the Fourth Proportional to 2,065, 3,097.68 and 526

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Solution

The fourth proportional to 2,065, 3,097.68 and 526 is: 789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065 : 3,097.68 = 526 : x
  2. Step 2: Convert to fraction form
    2,065/3,097.68 = 526/x
  3. Step 3: Cross multiply
    2,065x = 3,097.68 × 526
  4. Step 4: Simplify right side
    2,065x = 1,629,379.68
  5. Step 5: Solve for x
    x = 1,629,379.68/2,065
  6. Step 6: Final answer
    x = 789.05

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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.