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Finding the Fourth Proportional to 949.90, 1,310.66 and 556.78

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Solution

The fourth proportional to 949.90, 1,310.66 and 556.78 is: 768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.90 : 1,310.66 = 556.78 : x
  2. Step 2: Convert to fraction form
    949.90/1,310.66 = 556.78/x
  3. Step 3: Cross multiply
    949.90x = 1,310.66 × 556.78
  4. Step 4: Simplify right side
    949.90x = 729,749.27
  5. Step 5: Solve for x
    x = 729,749.27/949.90
  6. Step 6: Final answer
    x = 768.24

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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.