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Finding the Fourth Proportional to 949.26, 1,424.84 and 714.20

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Solution

The fourth proportional to 949.26, 1,424.84 and 714.20 is: 1,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.26 : 1,424.84 = 714.20 : x
  2. Step 2: Convert to fraction form
    949.26/1,424.84 = 714.20/x
  3. Step 3: Cross multiply
    949.26x = 1,424.84 × 714.20
  4. Step 4: Simplify right side
    949.26x = 1,017,620.73
  5. Step 5: Solve for x
    x = 1,017,620.73/949.26
  6. Step 6: Final answer
    x = 1,072.01

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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.