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Finding the Fourth Proportional to 492.25, 677.60 and 425.83

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Solution

The fourth proportional to 492.25, 677.60 and 425.83 is: 586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.25 : 677.60 = 425.83 : x
  2. Step 2: Convert to fraction form
    492.25/677.60 = 425.83/x
  3. Step 3: Cross multiply
    492.25x = 677.60 × 425.83
  4. Step 4: Simplify right side
    492.25x = 288,542.41
  5. Step 5: Solve for x
    x = 288,542.41/492.25
  6. Step 6: Final answer
    x = 586.17

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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.