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Finding the Fourth Proportional to 829.24, 1,242.07 and 780.77

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Solution

The fourth proportional to 829.24, 1,242.07 and 780.77 is: 1,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.24 : 1,242.07 = 780.77 : x
  2. Step 2: Convert to fraction form
    829.24/1,242.07 = 780.77/x
  3. Step 3: Cross multiply
    829.24x = 1,242.07 × 780.77
  4. Step 4: Simplify right side
    829.24x = 969,770.99
  5. Step 5: Solve for x
    x = 969,770.99/829.24
  6. Step 6: Final answer
    x = 1,169.47

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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.