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Finding the Fourth Proportional to 494.39, 677.31 and 475.93

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Solution

The fourth proportional to 494.39, 677.31 and 475.93 is: 652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.39 : 677.31 = 475.93 : x
  2. Step 2: Convert to fraction form
    494.39/677.31 = 475.93/x
  3. Step 3: Cross multiply
    494.39x = 677.31 × 475.93
  4. Step 4: Simplify right side
    494.39x = 322,346.38
  5. Step 5: Solve for x
    x = 322,346.38/494.39
  6. Step 6: Final answer
    x = 652.01

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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.