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Finding the Fourth Proportional to 653.76, 981.09 and 422.55

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Solution

The fourth proportional to 653.76, 981.09 and 422.55 is: 634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.76 : 981.09 = 422.55 : x
  2. Step 2: Convert to fraction form
    653.76/981.09 = 422.55/x
  3. Step 3: Cross multiply
    653.76x = 981.09 × 422.55
  4. Step 4: Simplify right side
    653.76x = 414,559.58
  5. Step 5: Solve for x
    x = 414,559.58/653.76
  6. Step 6: Final answer
    x = 634.12

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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.