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Finding the Fourth Proportional to 1,203.54, 1,661.16 and 679.74

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Solution

The fourth proportional to 1,203.54, 1,661.16 and 679.74 is: 938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.54 : 1,661.16 = 679.74 : x
  2. Step 2: Convert to fraction form
    1,203.54/1,661.16 = 679.74/x
  3. Step 3: Cross multiply
    1,203.54x = 1,661.16 × 679.74
  4. Step 4: Simplify right side
    1,203.54x = 1,129,156.90
  5. Step 5: Solve for x
    x = 1,129,156.90/1,203.54
  6. Step 6: Final answer
    x = 938.20

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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.