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Finding the Fourth Proportional to 471.40, 649.54 and 360.68

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Solution

The fourth proportional to 471.40, 649.54 and 360.68 is: 496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.40 : 649.54 = 360.68 : x
  2. Step 2: Convert to fraction form
    471.40/649.54 = 360.68/x
  3. Step 3: Cross multiply
    471.40x = 649.54 × 360.68
  4. Step 4: Simplify right side
    471.40x = 234,276.09
  5. Step 5: Solve for x
    x = 234,276.09/471.40
  6. Step 6: Final answer
    x = 496.98

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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.