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Finding the Fourth Proportional to 829.98, 1,150.74 and 780.30

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Solution

The fourth proportional to 829.98, 1,150.74 and 780.30 is: 1,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.98 : 1,150.74 = 780.30 : x
  2. Step 2: Convert to fraction form
    829.98/1,150.74 = 780.30/x
  3. Step 3: Cross multiply
    829.98x = 1,150.74 × 780.30
  4. Step 4: Simplify right side
    829.98x = 897,922.42
  5. Step 5: Solve for x
    x = 897,922.42/829.98
  6. Step 6: Final answer
    x = 1,081.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.