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Finding the Fourth Proportional to 949.57, 1,424.30 and 300.25

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Solution

The fourth proportional to 949.57, 1,424.30 and 300.25 is: 450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.57 : 1,424.30 = 300.25 : x
  2. Step 2: Convert to fraction form
    949.57/1,424.30 = 300.25/x
  3. Step 3: Cross multiply
    949.57x = 1,424.30 × 300.25
  4. Step 4: Simplify right side
    949.57x = 427,646.08
  5. Step 5: Solve for x
    x = 427,646.08/949.57
  6. Step 6: Final answer
    x = 450.36

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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.