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Finding the Fourth Proportional to 792.68, 1,187.12 and 421.49

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Solution

The fourth proportional to 792.68, 1,187.12 and 421.49 is: 631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.68 : 1,187.12 = 421.49 : x
  2. Step 2: Convert to fraction form
    792.68/1,187.12 = 421.49/x
  3. Step 3: Cross multiply
    792.68x = 1,187.12 × 421.49
  4. Step 4: Simplify right side
    792.68x = 500,351.17
  5. Step 5: Solve for x
    x = 500,351.17/792.68
  6. Step 6: Final answer
    x = 631.22

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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.