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Finding the Fourth Proportional to 492.14, 677.40 and 408.31

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Solution

The fourth proportional to 492.14, 677.40 and 408.31 is: 562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.14 : 677.40 = 408.31 : x
  2. Step 2: Convert to fraction form
    492.14/677.40 = 408.31/x
  3. Step 3: Cross multiply
    492.14x = 677.40 × 408.31
  4. Step 4: Simplify right side
    492.14x = 276,587.50
  5. Step 5: Solve for x
    x = 276,587.50/492.14
  6. Step 6: Final answer
    x = 562.01

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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.