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Finding the Fourth Proportional to 1,281.92, 1,922.88 and 502.28

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Solution

The fourth proportional to 1,281.92, 1,922.88 and 502.28 is: 753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.92 : 1,922.88 = 502.28 : x
  2. Step 2: Convert to fraction form
    1,281.92/1,922.88 = 502.28/x
  3. Step 3: Cross multiply
    1,281.92x = 1,922.88 × 502.28
  4. Step 4: Simplify right side
    1,281.92x = 965,824.17
  5. Step 5: Solve for x
    x = 965,824.17/1,281.92
  6. Step 6: Final answer
    x = 753.42

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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.