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Finding the Fourth Proportional to 631.31, 946.18 and 448.31

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Solution

The fourth proportional to 631.31, 946.18 and 448.31 is: 671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.31 : 946.18 = 448.31 : x
  2. Step 2: Convert to fraction form
    631.31/946.18 = 448.31/x
  3. Step 3: Cross multiply
    631.31x = 946.18 × 448.31
  4. Step 4: Simplify right side
    631.31x = 424,184.88
  5. Step 5: Solve for x
    x = 424,184.88/631.31
  6. Step 6: Final answer
    x = 671.92

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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.