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Finding the Fourth Proportional to 636.80, 953.51 and 430.92

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Solution

The fourth proportional to 636.80, 953.51 and 430.92 is: 645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.80 : 953.51 = 430.92 : x
  2. Step 2: Convert to fraction form
    636.80/953.51 = 430.92/x
  3. Step 3: Cross multiply
    636.80x = 953.51 × 430.92
  4. Step 4: Simplify right side
    636.80x = 410,884.37
  5. Step 5: Solve for x
    x = 410,884.37/636.80
  6. Step 6: Final answer
    x = 645.24

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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.