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Finding the Fourth Proportional to 492.61, 678.98 and 422.74

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Solution

The fourth proportional to 492.61, 678.98 and 422.74 is: 582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.61 : 678.98 = 422.74 : x
  2. Step 2: Convert to fraction form
    492.61/678.98 = 422.74/x
  3. Step 3: Cross multiply
    492.61x = 678.98 × 422.74
  4. Step 4: Simplify right side
    492.61x = 287,032.01
  5. Step 5: Solve for x
    x = 287,032.01/492.61
  6. Step 6: Final answer
    x = 582.68

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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.