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Finding the Fourth Proportional to 631.73, 946.53 and 448.21

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Solution

The fourth proportional to 631.73, 946.53 and 448.21 is: 671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.73 : 946.53 = 448.21 : x
  2. Step 2: Convert to fraction form
    631.73/946.53 = 448.21/x
  3. Step 3: Cross multiply
    631.73x = 946.53 × 448.21
  4. Step 4: Simplify right side
    631.73x = 424,241.97
  5. Step 5: Solve for x
    x = 424,241.97/631.73
  6. Step 6: Final answer
    x = 671.56

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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.