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Finding the Fourth Proportional to 949.52, 1,310.45 and 556.54

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Solution

The fourth proportional to 949.52, 1,310.45 and 556.54 is: 768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.52 : 1,310.45 = 556.54 : x
  2. Step 2: Convert to fraction form
    949.52/1,310.45 = 556.54/x
  3. Step 3: Cross multiply
    949.52x = 1,310.45 × 556.54
  4. Step 4: Simplify right side
    949.52x = 729,311.78
  5. Step 5: Solve for x
    x = 729,311.78/949.52
  6. Step 6: Final answer
    x = 768.08

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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.