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Finding the Fourth Proportional to 471.17, 701.39 and 448.78

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Solution

The fourth proportional to 471.17, 701.39 and 448.78 is: 668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.17 : 701.39 = 448.78 : x
  2. Step 2: Convert to fraction form
    471.17/701.39 = 448.78/x
  3. Step 3: Cross multiply
    471.17x = 701.39 × 448.78
  4. Step 4: Simplify right side
    471.17x = 314,769.80
  5. Step 5: Solve for x
    x = 314,769.80/471.17
  6. Step 6: Final answer
    x = 668.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.