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Finding the Fourth Proportional to 830.84, 1,246.26 and 762.17

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Solution

The fourth proportional to 830.84, 1,246.26 and 762.17 is: 1,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.84 : 1,246.26 = 762.17 : x
  2. Step 2: Convert to fraction form
    830.84/1,246.26 = 762.17/x
  3. Step 3: Cross multiply
    830.84x = 1,246.26 × 762.17
  4. Step 4: Simplify right side
    830.84x = 949,861.98
  5. Step 5: Solve for x
    x = 949,861.98/830.84
  6. Step 6: Final answer
    x = 1,143.26

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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.