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Finding the Fourth Proportional to 949.42, 1,310.21 and 556.45

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Solution

The fourth proportional to 949.42, 1,310.21 and 556.45 is: 767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.42 : 1,310.21 = 556.45 : x
  2. Step 2: Convert to fraction form
    949.42/1,310.21 = 556.45/x
  3. Step 3: Cross multiply
    949.42x = 1,310.21 × 556.45
  4. Step 4: Simplify right side
    949.42x = 729,066.35
  5. Step 5: Solve for x
    x = 729,066.35/949.42
  6. Step 6: Final answer
    x = 767.91

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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.