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Finding the Fourth Proportional to 830.84, 1,247.22 and 809.91

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Solution

The fourth proportional to 830.84, 1,247.22 and 809.91 is: 1,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.84 : 1,247.22 = 809.91 : x
  2. Step 2: Convert to fraction form
    830.84/1,247.22 = 809.91/x
  3. Step 3: Cross multiply
    830.84x = 1,247.22 × 809.91
  4. Step 4: Simplify right side
    830.84x = 1,010,135.95
  5. Step 5: Solve for x
    x = 1,010,135.95/830.84
  6. Step 6: Final answer
    x = 1,215.81

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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.