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Finding the Fourth Proportional to 456.48, 681.75 and 418.23

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Solution

The fourth proportional to 456.48, 681.75 and 418.23 is: 624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 681.75 = 418.23 : x
  2. Step 2: Convert to fraction form
    456.48/681.75 = 418.23/x
  3. Step 3: Cross multiply
    456.48x = 681.75 × 418.23
  4. Step 4: Simplify right side
    456.48x = 285,128.30
  5. Step 5: Solve for x
    x = 285,128.30/456.48
  6. Step 6: Final answer
    x = 624.62

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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.