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Finding the Fourth Proportional to 473.91, 654.16 and 274.83

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Solution

The fourth proportional to 473.91, 654.16 and 274.83 is: 379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.91 : 654.16 = 274.83 : x
  2. Step 2: Convert to fraction form
    473.91/654.16 = 274.83/x
  3. Step 3: Cross multiply
    473.91x = 654.16 × 274.83
  4. Step 4: Simplify right side
    473.91x = 179,778.15
  5. Step 5: Solve for x
    x = 179,778.15/473.91
  6. Step 6: Final answer
    x = 379.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.