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Finding the Fourth Proportional to 949.14, 1,310.04 and 687.11

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Solution

The fourth proportional to 949.14, 1,310.04 and 687.11 is: 948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.14 : 1,310.04 = 687.11 : x
  2. Step 2: Convert to fraction form
    949.14/1,310.04 = 687.11/x
  3. Step 3: Cross multiply
    949.14x = 1,310.04 × 687.11
  4. Step 4: Simplify right side
    949.14x = 900,135.03
  5. Step 5: Solve for x
    x = 900,135.03/949.14
  6. Step 6: Final answer
    x = 948.37

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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.