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Finding the Fourth Proportional to 1,280.25, 1,920.42 and 584.84

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Solution

The fourth proportional to 1,280.25, 1,920.42 and 584.84 is: 877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.25 : 1,920.42 = 584.84 : x
  2. Step 2: Convert to fraction form
    1,280.25/1,920.42 = 584.84/x
  3. Step 3: Cross multiply
    1,280.25x = 1,920.42 × 584.84
  4. Step 4: Simplify right side
    1,280.25x = 1,123,143.23
  5. Step 5: Solve for x
    x = 1,123,143.23/1,280.25
  6. Step 6: Final answer
    x = 877.28

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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.