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Finding the Fourth Proportional to 519.68, 783.35 and 475.87

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Solution

The fourth proportional to 519.68, 783.35 and 475.87 is: 717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.68 : 783.35 = 475.87 : x
  2. Step 2: Convert to fraction form
    519.68/783.35 = 475.87/x
  3. Step 3: Cross multiply
    519.68x = 783.35 × 475.87
  4. Step 4: Simplify right side
    519.68x = 372,768.85
  5. Step 5: Solve for x
    x = 372,768.85/519.68
  6. Step 6: Final answer
    x = 717.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.