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Finding the Fourth Proportional to 471.36, 707.44 and 348.08

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Solution

The fourth proportional to 471.36, 707.44 and 348.08 is: 522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.36 : 707.44 = 348.08 : x
  2. Step 2: Convert to fraction form
    471.36/707.44 = 348.08/x
  3. Step 3: Cross multiply
    471.36x = 707.44 × 348.08
  4. Step 4: Simplify right side
    471.36x = 246,245.72
  5. Step 5: Solve for x
    x = 246,245.72/471.36
  6. Step 6: Final answer
    x = 522.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.