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Finding the Fourth Proportional to 1,284, 1,771.48 and 724.36

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Solution

The fourth proportional to 1,284, 1,771.48 and 724.36 is: 999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284 : 1,771.48 = 724.36 : x
  2. Step 2: Convert to fraction form
    1,284/1,771.48 = 724.36/x
  3. Step 3: Cross multiply
    1,284x = 1,771.48 × 724.36
  4. Step 4: Simplify right side
    1,284x = 1,283,189.25
  5. Step 5: Solve for x
    x = 1,283,189.25/1,284
  6. Step 6: Final answer
    x = 999.37

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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.