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Finding the Fourth Proportional to 471.47, 649.46 and 401.30

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Solution

The fourth proportional to 471.47, 649.46 and 401.30 is: 552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.47 : 649.46 = 401.30 : x
  2. Step 2: Convert to fraction form
    471.47/649.46 = 401.30/x
  3. Step 3: Cross multiply
    471.47x = 649.46 × 401.30
  4. Step 4: Simplify right side
    471.47x = 260,629.71
  5. Step 5: Solve for x
    x = 260,629.71/471.47
  6. Step 6: Final answer
    x = 552.81

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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.