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Finding the Fourth Proportional to 830.47, 1,246.22 and 767.73

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Solution

The fourth proportional to 830.47, 1,246.22 and 767.73 is: 1,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.47 : 1,246.22 = 767.73 : x
  2. Step 2: Convert to fraction form
    830.47/1,246.22 = 767.73/x
  3. Step 3: Cross multiply
    830.47x = 1,246.22 × 767.73
  4. Step 4: Simplify right side
    830.47x = 956,752.33
  5. Step 5: Solve for x
    x = 956,752.33/830.47
  6. Step 6: Final answer
    x = 1,152.07

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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.