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Finding the Fourth Proportional to 756.06, 1,132.78 and 518.14

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Solution

The fourth proportional to 756.06, 1,132.78 and 518.14 is: 776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.06 : 1,132.78 = 518.14 : x
  2. Step 2: Convert to fraction form
    756.06/1,132.78 = 518.14/x
  3. Step 3: Cross multiply
    756.06x = 1,132.78 × 518.14
  4. Step 4: Simplify right side
    756.06x = 586,938.63
  5. Step 5: Solve for x
    x = 586,938.63/756.06
  6. Step 6: Final answer
    x = 776.31

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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.