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Finding the Fourth Proportional to 616.50, 849.96 and 518.04

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Solution

The fourth proportional to 616.50, 849.96 and 518.04 is: 714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.50 : 849.96 = 518.04 : x
  2. Step 2: Convert to fraction form
    616.50/849.96 = 518.04/x
  3. Step 3: Cross multiply
    616.50x = 849.96 × 518.04
  4. Step 4: Simplify right side
    616.50x = 440,313.28
  5. Step 5: Solve for x
    x = 440,313.28/616.50
  6. Step 6: Final answer
    x = 714.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.