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Finding the Fourth Proportional to 1,333.03, 1,838.68 and 867.28

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Solution

The fourth proportional to 1,333.03, 1,838.68 and 867.28 is: 1,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.03 : 1,838.68 = 867.28 : x
  2. Step 2: Convert to fraction form
    1,333.03/1,838.68 = 867.28/x
  3. Step 3: Cross multiply
    1,333.03x = 1,838.68 × 867.28
  4. Step 4: Simplify right side
    1,333.03x = 1,594,650.39
  5. Step 5: Solve for x
    x = 1,594,650.39/1,333.03
  6. Step 6: Final answer
    x = 1,196.26

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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.