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Finding the Fourth Proportional to 471.23, 649.58 and 371.46

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Solution

The fourth proportional to 471.23, 649.58 and 371.46 is: 512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.23 : 649.58 = 371.46 : x
  2. Step 2: Convert to fraction form
    471.23/649.58 = 371.46/x
  3. Step 3: Cross multiply
    471.23x = 649.58 × 371.46
  4. Step 4: Simplify right side
    471.23x = 241,291.13
  5. Step 5: Solve for x
    x = 241,291.13/471.23
  6. Step 6: Final answer
    x = 512.05

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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.