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Finding the Fourth Proportional to 493.29, 680.00 and 419.58

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Solution

The fourth proportional to 493.29, 680.00 and 419.58 is: 578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.29 : 680.00 = 419.58 : x
  2. Step 2: Convert to fraction form
    493.29/680.00 = 419.58/x
  3. Step 3: Cross multiply
    493.29x = 680.00 × 419.58
  4. Step 4: Simplify right side
    493.29x = 285,312.30
  5. Step 5: Solve for x
    x = 285,312.30/493.29
  6. Step 6: Final answer
    x = 578.39

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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.