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Finding the Fourth Proportional to 492.80, 736.08 and 419.88

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Solution

The fourth proportional to 492.80, 736.08 and 419.88 is: 627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.80 : 736.08 = 419.88 : x
  2. Step 2: Convert to fraction form
    492.80/736.08 = 419.88/x
  3. Step 3: Cross multiply
    492.80x = 736.08 × 419.88
  4. Step 4: Simplify right side
    492.80x = 309,065.27
  5. Step 5: Solve for x
    x = 309,065.27/492.80
  6. Step 6: Final answer
    x = 627.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.