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Finding the Fourth Proportional to 492.42, 682.75 and 478.06

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Solution

The fourth proportional to 492.42, 682.75 and 478.06 is: 662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.42 : 682.75 = 478.06 : x
  2. Step 2: Convert to fraction form
    492.42/682.75 = 478.06/x
  3. Step 3: Cross multiply
    492.42x = 682.75 × 478.06
  4. Step 4: Simplify right side
    492.42x = 326,400.50
  5. Step 5: Solve for x
    x = 326,400.50/492.42
  6. Step 6: Final answer
    x = 662.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.