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Finding the Fourth Proportional to 493.47, 680.35 and 404.62

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Solution

The fourth proportional to 493.47, 680.35 and 404.62 is: 557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.47 : 680.35 = 404.62 : x
  2. Step 2: Convert to fraction form
    493.47/680.35 = 404.62/x
  3. Step 3: Cross multiply
    493.47x = 680.35 × 404.62
  4. Step 4: Simplify right side
    493.47x = 275,283.22
  5. Step 5: Solve for x
    x = 275,283.22/493.47
  6. Step 6: Final answer
    x = 557.85

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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.