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Finding the Fourth Proportional to 949.31, 1,422.91 and 401.87

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Solution

The fourth proportional to 949.31, 1,422.91 and 401.87 is: 602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.31 : 1,422.91 = 401.87 : x
  2. Step 2: Convert to fraction form
    949.31/1,422.91 = 401.87/x
  3. Step 3: Cross multiply
    949.31x = 1,422.91 × 401.87
  4. Step 4: Simplify right side
    949.31x = 571,824.84
  5. Step 5: Solve for x
    x = 571,824.84/949.31
  6. Step 6: Final answer
    x = 602.36

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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.