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Finding the Fourth Proportional to 949.54, 1,310.16 and 556.46

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Solution

The fourth proportional to 949.54, 1,310.16 and 556.46 is: 767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.54 : 1,310.16 = 556.46 : x
  2. Step 2: Convert to fraction form
    949.54/1,310.16 = 556.46/x
  3. Step 3: Cross multiply
    949.54x = 1,310.16 × 556.46
  4. Step 4: Simplify right side
    949.54x = 729,051.63
  5. Step 5: Solve for x
    x = 729,051.63/949.54
  6. Step 6: Final answer
    x = 767.79

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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.