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Finding the Fourth Proportional to 2,281.35, 3,422.03 and 637.69

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Solution

The fourth proportional to 2,281.35, 3,422.03 and 637.69 is: 956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.35 : 3,422.03 = 637.69 : x
  2. Step 2: Convert to fraction form
    2,281.35/3,422.03 = 637.69/x
  3. Step 3: Cross multiply
    2,281.35x = 3,422.03 × 637.69
  4. Step 4: Simplify right side
    2,281.35x = 2,182,194.31
  5. Step 5: Solve for x
    x = 2,182,194.31/2,281.35
  6. Step 6: Final answer
    x = 956.54

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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.