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Finding the Fourth Proportional to 519.93, 717.50 and 287.05

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Solution

The fourth proportional to 519.93, 717.50 and 287.05 is: 396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.93 : 717.50 = 287.05 : x
  2. Step 2: Convert to fraction form
    519.93/717.50 = 287.05/x
  3. Step 3: Cross multiply
    519.93x = 717.50 × 287.05
  4. Step 4: Simplify right side
    519.93x = 205,958.38
  5. Step 5: Solve for x
    x = 205,958.38/519.93
  6. Step 6: Final answer
    x = 396.13

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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.