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Finding the Fourth Proportional to 471.16, 649.60 and 371.40

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Solution

The fourth proportional to 471.16, 649.60 and 371.40 is: 512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.16 : 649.60 = 371.40 : x
  2. Step 2: Convert to fraction form
    471.16/649.60 = 371.40/x
  3. Step 3: Cross multiply
    471.16x = 649.60 × 371.40
  4. Step 4: Simplify right side
    471.16x = 241,261.44
  5. Step 5: Solve for x
    x = 241,261.44/471.16
  6. Step 6: Final answer
    x = 512.06

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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.