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Finding the Fourth Proportional to 471.32, 703.89 and 409.15

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Solution

The fourth proportional to 471.32, 703.89 and 409.15 is: 611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.32 : 703.89 = 409.15 : x
  2. Step 2: Convert to fraction form
    471.32/703.89 = 409.15/x
  3. Step 3: Cross multiply
    471.32x = 703.89 × 409.15
  4. Step 4: Simplify right side
    471.32x = 287,997.47
  5. Step 5: Solve for x
    x = 287,997.47/471.32
  6. Step 6: Final answer
    x = 611.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.