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Finding the Fourth Proportional to 708.21, 976.11 and 471.73

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Solution

The fourth proportional to 708.21, 976.11 and 471.73 is: 650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.21 : 976.11 = 471.73 : x
  2. Step 2: Convert to fraction form
    708.21/976.11 = 471.73/x
  3. Step 3: Cross multiply
    708.21x = 976.11 × 471.73
  4. Step 4: Simplify right side
    708.21x = 460,460.37
  5. Step 5: Solve for x
    x = 460,460.37/708.21
  6. Step 6: Final answer
    x = 650.17

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1.5x scale

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.