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Finding the Fourth Proportional to 618.20, 851.16 and 519.74

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Solution

The fourth proportional to 618.20, 851.16 and 519.74 is: 715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.20 : 851.16 = 519.74 : x
  2. Step 2: Convert to fraction form
    618.20/851.16 = 519.74/x
  3. Step 3: Cross multiply
    618.20x = 851.16 × 519.74
  4. Step 4: Simplify right side
    618.20x = 442,381.90
  5. Step 5: Solve for x
    x = 442,381.90/618.20
  6. Step 6: Final answer
    x = 715.60

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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.