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Finding the Fourth Proportional to 633.61, 950.41 and 417.13

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Solution

The fourth proportional to 633.61, 950.41 and 417.13 is: 625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.61 : 950.41 = 417.13 : x
  2. Step 2: Convert to fraction form
    633.61/950.41 = 417.13/x
  3. Step 3: Cross multiply
    633.61x = 950.41 × 417.13
  4. Step 4: Simplify right side
    633.61x = 396,444.52
  5. Step 5: Solve for x
    x = 396,444.52/633.61
  6. Step 6: Final answer
    x = 625.69

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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.