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Finding the Fourth Proportional to 928.97, 1,280.81 and 802.97

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Solution

The fourth proportional to 928.97, 1,280.81 and 802.97 is: 1,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.97 : 1,280.81 = 802.97 : x
  2. Step 2: Convert to fraction form
    928.97/1,280.81 = 802.97/x
  3. Step 3: Cross multiply
    928.97x = 1,280.81 × 802.97
  4. Step 4: Simplify right side
    928.97x = 1,028,452.01
  5. Step 5: Solve for x
    x = 1,028,452.01/928.97
  6. Step 6: Final answer
    x = 1,107.09

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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.