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Finding the Fourth Proportional to 636.04, 954.29 and 459.73

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Solution

The fourth proportional to 636.04, 954.29 and 459.73 is: 689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.04 : 954.29 = 459.73 : x
  2. Step 2: Convert to fraction form
    636.04/954.29 = 459.73/x
  3. Step 3: Cross multiply
    636.04x = 954.29 × 459.73
  4. Step 4: Simplify right side
    636.04x = 438,715.74
  5. Step 5: Solve for x
    x = 438,715.74/636.04
  6. Step 6: Final answer
    x = 689.76

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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.