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Finding the Fourth Proportional to 492.88, 680.40 and 480

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Solution

The fourth proportional to 492.88, 680.40 and 480 is: 662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.88 : 680.40 = 480 : x
  2. Step 2: Convert to fraction form
    492.88/680.40 = 480/x
  3. Step 3: Cross multiply
    492.88x = 680.40 × 480
  4. Step 4: Simplify right side
    492.88x = 326,592
  5. Step 5: Solve for x
    x = 326,592/492.88
  6. Step 6: Final answer
    x = 662.62

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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.