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Finding the Fourth Proportional to 518.37, 773.75 and 475.08

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Solution

The fourth proportional to 518.37, 773.75 and 475.08 is: 709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.37 : 773.75 = 475.08 : x
  2. Step 2: Convert to fraction form
    518.37/773.75 = 475.08/x
  3. Step 3: Cross multiply
    518.37x = 773.75 × 475.08
  4. Step 4: Simplify right side
    518.37x = 367,590.77
  5. Step 5: Solve for x
    x = 367,590.77/518.37
  6. Step 6: Final answer
    x = 709.13

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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.