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Finding the Fourth Proportional to 456.48, 682.56 and 307.80

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Solution

The fourth proportional to 456.48, 682.56 and 307.80 is: 460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 682.56 = 307.80 : x
  2. Step 2: Convert to fraction form
    456.48/682.56 = 307.80/x
  3. Step 3: Cross multiply
    456.48x = 682.56 × 307.80
  4. Step 4: Simplify right side
    456.48x = 210,091.97
  5. Step 5: Solve for x
    x = 210,091.97/456.48
  6. Step 6: Final answer
    x = 460.24

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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.