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Finding the Fourth Proportional to 1,214.85, 1,677.07 and 949.68

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Solution

The fourth proportional to 1,214.85, 1,677.07 and 949.68 is: 1,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.85 : 1,677.07 = 949.68 : x
  2. Step 2: Convert to fraction form
    1,214.85/1,677.07 = 949.68/x
  3. Step 3: Cross multiply
    1,214.85x = 1,677.07 × 949.68
  4. Step 4: Simplify right side
    1,214.85x = 1,592,679.84
  5. Step 5: Solve for x
    x = 1,592,679.84/1,214.85
  6. Step 6: Final answer
    x = 1,311.01

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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.