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Finding the Fourth Proportional to 2,288.92, 3,433.38 and 645.47

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Solution

The fourth proportional to 2,288.92, 3,433.38 and 645.47 is: 968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.92 : 3,433.38 = 645.47 : x
  2. Step 2: Convert to fraction form
    2,288.92/3,433.38 = 645.47/x
  3. Step 3: Cross multiply
    2,288.92x = 3,433.38 × 645.47
  4. Step 4: Simplify right side
    2,288.92x = 2,216,123.39
  5. Step 5: Solve for x
    x = 2,216,123.39/2,288.92
  6. Step 6: Final answer
    x = 968.20

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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.