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Finding the Fourth Proportional to 554.46, 765.20 and 344.66

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Solution

The fourth proportional to 554.46, 765.20 and 344.66 is: 475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.46 : 765.20 = 344.66 : x
  2. Step 2: Convert to fraction form
    554.46/765.20 = 344.66/x
  3. Step 3: Cross multiply
    554.46x = 765.20 × 344.66
  4. Step 4: Simplify right side
    554.46x = 263,728.28
  5. Step 5: Solve for x
    x = 263,728.28/554.46
  6. Step 6: Final answer
    x = 475.65

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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.