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Finding the Fourth Proportional to 1,203.66, 1,660.59 and 889.68

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Solution

The fourth proportional to 1,203.66, 1,660.59 and 889.68 is: 1,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.66 : 1,660.59 = 889.68 : x
  2. Step 2: Convert to fraction form
    1,203.66/1,660.59 = 889.68/x
  3. Step 3: Cross multiply
    1,203.66x = 1,660.59 × 889.68
  4. Step 4: Simplify right side
    1,203.66x = 1,477,393.71
  5. Step 5: Solve for x
    x = 1,477,393.71/1,203.66
  6. Step 6: Final answer
    x = 1,227.42

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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.