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Finding the Fourth Proportional to 1,487.78, 2,231.69 and 392.14

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Solution

The fourth proportional to 1,487.78, 2,231.69 and 392.14 is: 588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.78 : 2,231.69 = 392.14 : x
  2. Step 2: Convert to fraction form
    1,487.78/2,231.69 = 392.14/x
  3. Step 3: Cross multiply
    1,487.78x = 2,231.69 × 392.14
  4. Step 4: Simplify right side
    1,487.78x = 875,135.75
  5. Step 5: Solve for x
    x = 875,135.75/1,487.78
  6. Step 6: Final answer
    x = 588.21

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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.