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Finding the Fourth Proportional to 519.35, 775.04 and 475.20

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Solution

The fourth proportional to 519.35, 775.04 and 475.20 is: 709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.35 : 775.04 = 475.20 : x
  2. Step 2: Convert to fraction form
    519.35/775.04 = 475.20/x
  3. Step 3: Cross multiply
    519.35x = 775.04 × 475.20
  4. Step 4: Simplify right side
    519.35x = 368,296.63
  5. Step 5: Solve for x
    x = 368,296.63/519.35
  6. Step 6: Final answer
    x = 709.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.