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Finding the Fourth Proportional to 636.33, 954.33 and 430.84

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Solution

The fourth proportional to 636.33, 954.33 and 430.84 is: 646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.33 : 954.33 = 430.84 : x
  2. Step 2: Convert to fraction form
    636.33/954.33 = 430.84/x
  3. Step 3: Cross multiply
    636.33x = 954.33 × 430.84
  4. Step 4: Simplify right side
    636.33x = 411,163.54
  5. Step 5: Solve for x
    x = 411,163.54/636.33
  6. Step 6: Final answer
    x = 646.15

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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.