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Finding the Fourth Proportional to 492.93, 680.94 and 419.22

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Solution

The fourth proportional to 492.93, 680.94 and 419.22 is: 579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.93 : 680.94 = 419.22 : x
  2. Step 2: Convert to fraction form
    492.93/680.94 = 419.22/x
  3. Step 3: Cross multiply
    492.93x = 680.94 × 419.22
  4. Step 4: Simplify right side
    492.93x = 285,463.67
  5. Step 5: Solve for x
    x = 285,463.67/492.93
  6. Step 6: Final answer
    x = 579.12

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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.