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Finding the Fourth Proportional to 1,111.75, 1,667.63 and 462.04

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Solution

The fourth proportional to 1,111.75, 1,667.63 and 462.04 is: 693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.75 : 1,667.63 = 462.04 : x
  2. Step 2: Convert to fraction form
    1,111.75/1,667.63 = 462.04/x
  3. Step 3: Cross multiply
    1,111.75x = 1,667.63 × 462.04
  4. Step 4: Simplify right side
    1,111.75x = 770,508.75
  5. Step 5: Solve for x
    x = 770,508.75/1,111.75
  6. Step 6: Final answer
    x = 693.06

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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.