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Finding the Fourth Proportional to 2,288.40, 3,432.36 and 645.12

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Solution

The fourth proportional to 2,288.40, 3,432.36 and 645.12 is: 967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.40 : 3,432.36 = 645.12 : x
  2. Step 2: Convert to fraction form
    2,288.40/3,432.36 = 645.12/x
  3. Step 3: Cross multiply
    2,288.40x = 3,432.36 × 645.12
  4. Step 4: Simplify right side
    2,288.40x = 2,214,284.08
  5. Step 5: Solve for x
    x = 2,214,284.08/2,288.40
  6. Step 6: Final answer
    x = 967.61

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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.