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Finding the Fourth Proportional to 1,114.11, 1,667.94 and 650.46

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Solution

The fourth proportional to 1,114.11, 1,667.94 and 650.46 is: 973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.11 : 1,667.94 = 650.46 : x
  2. Step 2: Convert to fraction form
    1,114.11/1,667.94 = 650.46/x
  3. Step 3: Cross multiply
    1,114.11x = 1,667.94 × 650.46
  4. Step 4: Simplify right side
    1,114.11x = 1,084,928.25
  5. Step 5: Solve for x
    x = 1,084,928.25/1,114.11
  6. Step 6: Final answer
    x = 973.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.