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Finding the Fourth Proportional to 494.89, 677.99 and 476.43

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Solution

The fourth proportional to 494.89, 677.99 and 476.43 is: 652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.89 : 677.99 = 476.43 : x
  2. Step 2: Convert to fraction form
    494.89/677.99 = 476.43/x
  3. Step 3: Cross multiply
    494.89x = 677.99 × 476.43
  4. Step 4: Simplify right side
    494.89x = 323,014.78
  5. Step 5: Solve for x
    x = 323,014.78/494.89
  6. Step 6: Final answer
    x = 652.70

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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.