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Finding the Fourth Proportional to 780.55, 1,169.61 and 658.24

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Solution

The fourth proportional to 780.55, 1,169.61 and 658.24 is: 986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.55 : 1,169.61 = 658.24 : x
  2. Step 2: Convert to fraction form
    780.55/1,169.61 = 658.24/x
  3. Step 3: Cross multiply
    780.55x = 1,169.61 × 658.24
  4. Step 4: Simplify right side
    780.55x = 769,884.09
  5. Step 5: Solve for x
    x = 769,884.09/780.55
  6. Step 6: Final answer
    x = 986.34

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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.