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Finding the Fourth Proportional to 1,201.78, 1,658.51 and 677.81

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Solution

The fourth proportional to 1,201.78, 1,658.51 and 677.81 is: 935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.78 : 1,658.51 = 677.81 : x
  2. Step 2: Convert to fraction form
    1,201.78/1,658.51 = 677.81/x
  3. Step 3: Cross multiply
    1,201.78x = 1,658.51 × 677.81
  4. Step 4: Simplify right side
    1,201.78x = 1,124,157.96
  5. Step 5: Solve for x
    x = 1,124,157.96/1,201.78
  6. Step 6: Final answer
    x = 935.41

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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.