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Finding the Fourth Proportional to 1,280.31, 1,920.50 and 414.62

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Solution

The fourth proportional to 1,280.31, 1,920.50 and 414.62 is: 621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.31 : 1,920.50 = 414.62 : x
  2. Step 2: Convert to fraction form
    1,280.31/1,920.50 = 414.62/x
  3. Step 3: Cross multiply
    1,280.31x = 1,920.50 × 414.62
  4. Step 4: Simplify right side
    1,280.31x = 796,266.03
  5. Step 5: Solve for x
    x = 796,266.03/1,280.31
  6. Step 6: Final answer
    x = 621.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.