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Finding the Fourth Proportional to 494.68, 678.77 and 475.24

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Solution

The fourth proportional to 494.68, 678.77 and 475.24 is: 652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.68 : 678.77 = 475.24 : x
  2. Step 2: Convert to fraction form
    494.68/678.77 = 475.24/x
  3. Step 3: Cross multiply
    494.68x = 678.77 × 475.24
  4. Step 4: Simplify right side
    494.68x = 322,578.65
  5. Step 5: Solve for x
    x = 322,578.65/494.68
  6. Step 6: Final answer
    x = 652.10

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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.