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Finding the Fourth Proportional to 2,289.21, 3,433.94 and 645.89

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Solution

The fourth proportional to 2,289.21, 3,433.94 and 645.89 is: 968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.21 : 3,433.94 = 645.89 : x
  2. Step 2: Convert to fraction form
    2,289.21/3,433.94 = 645.89/x
  3. Step 3: Cross multiply
    2,289.21x = 3,433.94 × 645.89
  4. Step 4: Simplify right side
    2,289.21x = 2,217,947.51
  5. Step 5: Solve for x
    x = 2,217,947.51/2,289.21
  6. Step 6: Final answer
    x = 968.87

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1.5x scale

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.