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Finding the Fourth Proportional to 1,224.54, 1,701.26 and 1,209.96

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Solution

The fourth proportional to 1,224.54, 1,701.26 and 1,209.96 is: 1,681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.54 : 1,701.26 = 1,209.96 : x
  2. Step 2: Convert to fraction form
    1,224.54/1,701.26 = 1,209.96/x
  3. Step 3: Cross multiply
    1,224.54x = 1,701.26 × 1,209.96
  4. Step 4: Simplify right side
    1,224.54x = 2,058,456.55
  5. Step 5: Solve for x
    x = 2,058,456.55/1,224.54
  6. Step 6: Final answer
    x = 1,681.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.