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Finding the Fourth Proportional to 471.96, 710.73 and 411.81

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Solution

The fourth proportional to 471.96, 710.73 and 411.81 is: 620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.96 : 710.73 = 411.81 : x
  2. Step 2: Convert to fraction form
    471.96/710.73 = 411.81/x
  3. Step 3: Cross multiply
    471.96x = 710.73 × 411.81
  4. Step 4: Simplify right side
    471.96x = 292,685.72
  5. Step 5: Solve for x
    x = 292,685.72/471.96
  6. Step 6: Final answer
    x = 620.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.