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Finding the Fourth Proportional to 471.09, 649.92 and 313.77

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Solution

The fourth proportional to 471.09, 649.92 and 313.77 is: 432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.09 : 649.92 = 313.77 : x
  2. Step 2: Convert to fraction form
    471.09/649.92 = 313.77/x
  3. Step 3: Cross multiply
    471.09x = 649.92 × 313.77
  4. Step 4: Simplify right side
    471.09x = 203,925.40
  5. Step 5: Solve for x
    x = 203,925.40/471.09
  6. Step 6: Final answer
    x = 432.88

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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.