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Finding the Fourth Proportional to 1,333.72, 1,999.86 and 969.40

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Solution

The fourth proportional to 1,333.72, 1,999.86 and 969.40 is: 1,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.72 : 1,999.86 = 969.40 : x
  2. Step 2: Convert to fraction form
    1,333.72/1,999.86 = 969.40/x
  3. Step 3: Cross multiply
    1,333.72x = 1,999.86 × 969.40
  4. Step 4: Simplify right side
    1,333.72x = 1,938,664.28
  5. Step 5: Solve for x
    x = 1,938,664.28/1,333.72
  6. Step 6: Final answer
    x = 1,453.58

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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.