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Finding the Fourth Proportional to 1,201.27, 1,658.12 and 703.73

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Solution

The fourth proportional to 1,201.27, 1,658.12 and 703.73 is: 971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.27 : 1,658.12 = 703.73 : x
  2. Step 2: Convert to fraction form
    1,201.27/1,658.12 = 703.73/x
  3. Step 3: Cross multiply
    1,201.27x = 1,658.12 × 703.73
  4. Step 4: Simplify right side
    1,201.27x = 1,166,856.98
  5. Step 5: Solve for x
    x = 1,166,856.98/1,201.27
  6. Step 6: Final answer
    x = 971.35

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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.