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Finding the Fourth Proportional to 949.27, 1,422.75 and 429.14

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Solution

The fourth proportional to 949.27, 1,422.75 and 429.14 is: 643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.27 : 1,422.75 = 429.14 : x
  2. Step 2: Convert to fraction form
    949.27/1,422.75 = 429.14/x
  3. Step 3: Cross multiply
    949.27x = 1,422.75 × 429.14
  4. Step 4: Simplify right side
    949.27x = 610,558.94
  5. Step 5: Solve for x
    x = 610,558.94/949.27
  6. Step 6: Final answer
    x = 643.19

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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.