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Finding the Fourth Proportional to 2,288.81, 3,433.30 and 645.50

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Solution

The fourth proportional to 2,288.81, 3,433.30 and 645.50 is: 968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.81 : 3,433.30 = 645.50 : x
  2. Step 2: Convert to fraction form
    2,288.81/3,433.30 = 645.50/x
  3. Step 3: Cross multiply
    2,288.81x = 3,433.30 × 645.50
  4. Step 4: Simplify right side
    2,288.81x = 2,216,176.37
  5. Step 5: Solve for x
    x = 2,216,176.37/2,288.81
  6. Step 6: Final answer
    x = 968.27

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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.