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Finding the Fourth Proportional to 636.90, 954.92 and 307.66

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Solution

The fourth proportional to 636.90, 954.92 and 307.66 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.90 : 954.92 = 307.66 : x
  2. Step 2: Convert to fraction form
    636.90/954.92 = 307.66/x
  3. Step 3: Cross multiply
    636.90x = 954.92 × 307.66
  4. Step 4: Simplify right side
    636.90x = 293,784.37
  5. Step 5: Solve for x
    x = 293,784.37/636.90
  6. Step 6: Final answer
    x = 461.28

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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.