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Finding the Fourth Proportional to 792.68, 1,186.14 and 654.44

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Solution

The fourth proportional to 792.68, 1,186.14 and 654.44 is: 979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.68 : 1,186.14 = 654.44 : x
  2. Step 2: Convert to fraction form
    792.68/1,186.14 = 654.44/x
  3. Step 3: Cross multiply
    792.68x = 1,186.14 × 654.44
  4. Step 4: Simplify right side
    792.68x = 776,257.46
  5. Step 5: Solve for x
    x = 776,257.46/792.68
  6. Step 6: Final answer
    x = 979.28

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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.