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Finding the Fourth Proportional to 473.21, 708.61 and 395.98

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Solution

The fourth proportional to 473.21, 708.61 and 395.98 is: 592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.21 : 708.61 = 395.98 : x
  2. Step 2: Convert to fraction form
    473.21/708.61 = 395.98/x
  3. Step 3: Cross multiply
    473.21x = 708.61 × 395.98
  4. Step 4: Simplify right side
    473.21x = 280,593.37
  5. Step 5: Solve for x
    x = 280,593.37/473.21
  6. Step 6: Final answer
    x = 592.96

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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.