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Finding the Fourth Proportional to 632.83, 950.84 and 401.83

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Solution

The fourth proportional to 632.83, 950.84 and 401.83 is: 603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.83 : 950.84 = 401.83 : x
  2. Step 2: Convert to fraction form
    632.83/950.84 = 401.83/x
  3. Step 3: Cross multiply
    632.83x = 950.84 × 401.83
  4. Step 4: Simplify right side
    632.83x = 382,073.16
  5. Step 5: Solve for x
    x = 382,073.16/632.83
  6. Step 6: Final answer
    x = 603.76

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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.