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Finding the Fourth Proportional to 471.64, 710.24 and 411.48

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Solution

The fourth proportional to 471.64, 710.24 and 411.48 is: 619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 710.24 = 411.48 : x
  2. Step 2: Convert to fraction form
    471.64/710.24 = 411.48/x
  3. Step 3: Cross multiply
    471.64x = 710.24 × 411.48
  4. Step 4: Simplify right side
    471.64x = 292,249.56
  5. Step 5: Solve for x
    x = 292,249.56/471.64
  6. Step 6: Final answer
    x = 619.65

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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.