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Finding the Fourth Proportional to 631.38, 946.22 and 494.47

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Solution

The fourth proportional to 631.38, 946.22 and 494.47 is: 741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.38 : 946.22 = 494.47 : x
  2. Step 2: Convert to fraction form
    631.38/946.22 = 494.47/x
  3. Step 3: Cross multiply
    631.38x = 946.22 × 494.47
  4. Step 4: Simplify right side
    631.38x = 467,874.21
  5. Step 5: Solve for x
    x = 467,874.21/631.38
  6. Step 6: Final answer
    x = 741.03

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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.