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Finding the Fourth Proportional to 2,289, 3,433.65 and 645.69

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Solution

The fourth proportional to 2,289, 3,433.65 and 645.69 is: 968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289 : 3,433.65 = 645.69 : x
  2. Step 2: Convert to fraction form
    2,289/3,433.65 = 645.69/x
  3. Step 3: Cross multiply
    2,289x = 3,433.65 × 645.69
  4. Step 4: Simplify right side
    2,289x = 2,217,073.47
  5. Step 5: Solve for x
    x = 2,217,073.47/2,289
  6. Step 6: Final answer
    x = 968.58

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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.