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Finding the Fourth Proportional to 473.45, 708.08 and 277.97

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Solution

The fourth proportional to 473.45, 708.08 and 277.97 is: 415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.45 : 708.08 = 277.97 : x
  2. Step 2: Convert to fraction form
    473.45/708.08 = 277.97/x
  3. Step 3: Cross multiply
    473.45x = 708.08 × 277.97
  4. Step 4: Simplify right side
    473.45x = 196,820.07
  5. Step 5: Solve for x
    x = 196,820.07/473.45
  6. Step 6: Final answer
    x = 415.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.