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Finding the Fourth Proportional to 949.39, 1,309.84 and 556.14

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Solution

The fourth proportional to 949.39, 1,309.84 and 556.14 is: 767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.39 : 1,309.84 = 556.14 : x
  2. Step 2: Convert to fraction form
    949.39/1,309.84 = 556.14/x
  3. Step 3: Cross multiply
    949.39x = 1,309.84 × 556.14
  4. Step 4: Simplify right side
    949.39x = 728,454.42
  5. Step 5: Solve for x
    x = 728,454.42/949.39
  6. Step 6: Final answer
    x = 767.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.