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Finding the Fourth Proportional to 1,600.66, 2,209.19 and 1,263.79

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Solution

The fourth proportional to 1,600.66, 2,209.19 and 1,263.79 is: 1,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.66 : 2,209.19 = 1,263.79 : x
  2. Step 2: Convert to fraction form
    1,600.66/2,209.19 = 1,263.79/x
  3. Step 3: Cross multiply
    1,600.66x = 2,209.19 × 1,263.79
  4. Step 4: Simplify right side
    1,600.66x = 2,791,945.91
  5. Step 5: Solve for x
    x = 2,791,945.91/1,600.66
  6. Step 6: Final answer
    x = 1,744.25

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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.