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Finding the Fourth Proportional to 2,842.99, 4,264.17 and 763.17

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Solution

The fourth proportional to 2,842.99, 4,264.17 and 763.17 is: 1,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.99 : 4,264.17 = 763.17 : x
  2. Step 2: Convert to fraction form
    2,842.99/4,264.17 = 763.17/x
  3. Step 3: Cross multiply
    2,842.99x = 4,264.17 × 763.17
  4. Step 4: Simplify right side
    2,842.99x = 3,254,286.62
  5. Step 5: Solve for x
    x = 3,254,286.62/2,842.99
  6. Step 6: Final answer
    x = 1,144.67

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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.