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Finding the Fourth Proportional to 1,280.19, 1,920.59 and 414.50

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Solution

The fourth proportional to 1,280.19, 1,920.59 and 414.50 is: 621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.19 : 1,920.59 = 414.50 : x
  2. Step 2: Convert to fraction form
    1,280.19/1,920.59 = 414.50/x
  3. Step 3: Cross multiply
    1,280.19x = 1,920.59 × 414.50
  4. Step 4: Simplify right side
    1,280.19x = 796,082.48
  5. Step 5: Solve for x
    x = 796,082.48/1,280.19
  6. Step 6: Final answer
    x = 621.85

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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.