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Finding the Fourth Proportional to 456.69, 680.75 and 427.47

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Solution

The fourth proportional to 456.69, 680.75 and 427.47 is: 637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.69 : 680.75 = 427.47 : x
  2. Step 2: Convert to fraction form
    456.69/680.75 = 427.47/x
  3. Step 3: Cross multiply
    456.69x = 680.75 × 427.47
  4. Step 4: Simplify right side
    456.69x = 290,998.07
  5. Step 5: Solve for x
    x = 290,998.07/456.69
  6. Step 6: Final answer
    x = 637.19

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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.