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Finding the Fourth Proportional to 636.80, 953.84 and 430.46

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Solution

The fourth proportional to 636.80, 953.84 and 430.46 is: 644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.80 : 953.84 = 430.46 : x
  2. Step 2: Convert to fraction form
    636.80/953.84 = 430.46/x
  3. Step 3: Cross multiply
    636.80x = 953.84 × 430.46
  4. Step 4: Simplify right side
    636.80x = 410,589.97
  5. Step 5: Solve for x
    x = 410,589.97/636.80
  6. Step 6: Final answer
    x = 644.77

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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.