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Finding the Fourth Proportional to 763.87, 1,143.93 and 689.91

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Solution

The fourth proportional to 763.87, 1,143.93 and 689.91 is: 1,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.87 : 1,143.93 = 689.91 : x
  2. Step 2: Convert to fraction form
    763.87/1,143.93 = 689.91/x
  3. Step 3: Cross multiply
    763.87x = 1,143.93 × 689.91
  4. Step 4: Simplify right side
    763.87x = 789,206.16
  5. Step 5: Solve for x
    x = 789,206.16/763.87
  6. Step 6: Final answer
    x = 1,033.17

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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.