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Finding the Fourth Proportional to 1,433.43, 1,976.36 and 928.45

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Solution

The fourth proportional to 1,433.43, 1,976.36 and 928.45 is: 1,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.43 : 1,976.36 = 928.45 : x
  2. Step 2: Convert to fraction form
    1,433.43/1,976.36 = 928.45/x
  3. Step 3: Cross multiply
    1,433.43x = 1,976.36 × 928.45
  4. Step 4: Simplify right side
    1,433.43x = 1,834,951.44
  5. Step 5: Solve for x
    x = 1,834,951.44/1,433.43
  6. Step 6: Final answer
    x = 1,280.11

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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.