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Finding the Fourth Proportional to 492.72, 741.92 and 406.88

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Solution

The fourth proportional to 492.72, 741.92 and 406.88 is: 612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.72 : 741.92 = 406.88 : x
  2. Step 2: Convert to fraction form
    492.72/741.92 = 406.88/x
  3. Step 3: Cross multiply
    492.72x = 741.92 × 406.88
  4. Step 4: Simplify right side
    492.72x = 301,872.41
  5. Step 5: Solve for x
    x = 301,872.41/492.72
  6. Step 6: Final answer
    x = 612.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.