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Finding the Fourth Proportional to 587.46, 806.38 and 519.59

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Solution

The fourth proportional to 587.46, 806.38 and 519.59 is: 713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.46 : 806.38 = 519.59 : x
  2. Step 2: Convert to fraction form
    587.46/806.38 = 519.59/x
  3. Step 3: Cross multiply
    587.46x = 806.38 × 519.59
  4. Step 4: Simplify right side
    587.46x = 418,981.65
  5. Step 5: Solve for x
    x = 418,981.65/587.46
  6. Step 6: Final answer
    x = 713.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.