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Finding the Fourth Proportional to 792.11, 1,186.45 and 653.60

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Solution

The fourth proportional to 792.11, 1,186.45 and 653.60 is: 978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.11 : 1,186.45 = 653.60 : x
  2. Step 2: Convert to fraction form
    792.11/1,186.45 = 653.60/x
  3. Step 3: Cross multiply
    792.11x = 1,186.45 × 653.60
  4. Step 4: Simplify right side
    792.11x = 775,465.05
  5. Step 5: Solve for x
    x = 775,465.05/792.11
  6. Step 6: Final answer
    x = 978.98

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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.