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Finding the Fourth Proportional to 949.64, 1,310.21 and 556.66

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Solution

The fourth proportional to 949.64, 1,310.21 and 556.66 is: 768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.64 : 1,310.21 = 556.66 : x
  2. Step 2: Convert to fraction form
    949.64/1,310.21 = 556.66/x
  3. Step 3: Cross multiply
    949.64x = 1,310.21 × 556.66
  4. Step 4: Simplify right side
    949.64x = 729,341.50
  5. Step 5: Solve for x
    x = 729,341.50/949.64
  6. Step 6: Final answer
    x = 768.02

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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.