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Finding the Fourth Proportional to 1,111, 1,667.76 and 649.12

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Solution

The fourth proportional to 1,111, 1,667.76 and 649.12 is: 974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111 : 1,667.76 = 649.12 : x
  2. Step 2: Convert to fraction form
    1,111/1,667.76 = 649.12/x
  3. Step 3: Cross multiply
    1,111x = 1,667.76 × 649.12
  4. Step 4: Simplify right side
    1,111x = 1,082,576.37
  5. Step 5: Solve for x
    x = 1,082,576.37/1,111
  6. Step 6: Final answer
    x = 974.42

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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.