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Finding the Fourth Proportional to 791.18, 1,186.98 and 653.59

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Solution

The fourth proportional to 791.18, 1,186.98 and 653.59 is: 980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.18 : 1,186.98 = 653.59 : x
  2. Step 2: Convert to fraction form
    791.18/1,186.98 = 653.59/x
  3. Step 3: Cross multiply
    791.18x = 1,186.98 × 653.59
  4. Step 4: Simplify right side
    791.18x = 775,798.26
  5. Step 5: Solve for x
    x = 775,798.26/791.18
  6. Step 6: Final answer
    x = 980.56

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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.