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Finding the Fourth Proportional to 634.29, 950.18 and 417.21

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Solution

The fourth proportional to 634.29, 950.18 and 417.21 is: 624.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.29 : 950.18 = 417.21 : x
  2. Step 2: Convert to fraction form
    634.29/950.18 = 417.21/x
  3. Step 3: Cross multiply
    634.29x = 950.18 × 417.21
  4. Step 4: Simplify right side
    634.29x = 396,422.51
  5. Step 5: Solve for x
    x = 396,422.51/634.29
  6. Step 6: Final answer
    x = 624.99

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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.