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Finding the Fourth Proportional to 949.42, 1,310.20 and 556.68

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Solution

The fourth proportional to 949.42, 1,310.20 and 556.68 is: 768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.42 : 1,310.20 = 556.68 : x
  2. Step 2: Convert to fraction form
    949.42/1,310.20 = 556.68/x
  3. Step 3: Cross multiply
    949.42x = 1,310.20 × 556.68
  4. Step 4: Simplify right side
    949.42x = 729,362.14
  5. Step 5: Solve for x
    x = 729,362.14/949.42
  6. Step 6: Final answer
    x = 768.22

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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.