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Finding the Fourth Proportional to 1,168.84, 1,749.68 and 757.16

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Solution

The fourth proportional to 1,168.84, 1,749.68 and 757.16 is: 1,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.84 : 1,749.68 = 757.16 : x
  2. Step 2: Convert to fraction form
    1,168.84/1,749.68 = 757.16/x
  3. Step 3: Cross multiply
    1,168.84x = 1,749.68 × 757.16
  4. Step 4: Simplify right side
    1,168.84x = 1,324,787.71
  5. Step 5: Solve for x
    x = 1,324,787.71/1,168.84
  6. Step 6: Final answer
    x = 1,133.42

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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.