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Finding the Fourth Proportional to 634.17, 950.31 and 460.41

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Solution

The fourth proportional to 634.17, 950.31 and 460.41 is: 689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.17 : 950.31 = 460.41 : x
  2. Step 2: Convert to fraction form
    634.17/950.31 = 460.41/x
  3. Step 3: Cross multiply
    634.17x = 950.31 × 460.41
  4. Step 4: Simplify right side
    634.17x = 437,532.23
  5. Step 5: Solve for x
    x = 437,532.23/634.17
  6. Step 6: Final answer
    x = 689.93

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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.