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Finding the Fourth Proportional to 585.22, 807.25 and 349.01

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Solution

The fourth proportional to 585.22, 807.25 and 349.01 is: 481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.22 : 807.25 = 349.01 : x
  2. Step 2: Convert to fraction form
    585.22/807.25 = 349.01/x
  3. Step 3: Cross multiply
    585.22x = 807.25 × 349.01
  4. Step 4: Simplify right side
    585.22x = 281,739.47
  5. Step 5: Solve for x
    x = 281,739.47/585.22
  6. Step 6: Final answer
    x = 481.43

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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.