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Finding the Fourth Proportional to 471.44, 704.28 and 375.36

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Solution

The fourth proportional to 471.44, 704.28 and 375.36 is: 560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.44 : 704.28 = 375.36 : x
  2. Step 2: Convert to fraction form
    471.44/704.28 = 375.36/x
  3. Step 3: Cross multiply
    471.44x = 704.28 × 375.36
  4. Step 4: Simplify right side
    471.44x = 264,358.54
  5. Step 5: Solve for x
    x = 264,358.54/471.44
  6. Step 6: Final answer
    x = 560.75

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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.