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Finding the Fourth Proportional to 2,282.44, 3,423.03 and 638.86

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Solution

The fourth proportional to 2,282.44, 3,423.03 and 638.86 is: 958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.44 : 3,423.03 = 638.86 : x
  2. Step 2: Convert to fraction form
    2,282.44/3,423.03 = 638.86/x
  3. Step 3: Cross multiply
    2,282.44x = 3,423.03 × 638.86
  4. Step 4: Simplify right side
    2,282.44x = 2,186,836.95
  5. Step 5: Solve for x
    x = 2,186,836.95/2,282.44
  6. Step 6: Final answer
    x = 958.11

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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.