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Finding the Fourth Proportional to 481.31, 720.78 and 307.46

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Solution

The fourth proportional to 481.31, 720.78 and 307.46 is: 460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.31 : 720.78 = 307.46 : x
  2. Step 2: Convert to fraction form
    481.31/720.78 = 307.46/x
  3. Step 3: Cross multiply
    481.31x = 720.78 × 307.46
  4. Step 4: Simplify right side
    481.31x = 221,613.40
  5. Step 5: Solve for x
    x = 221,613.40/481.31
  6. Step 6: Final answer
    x = 460.44

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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.