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Finding the Fourth Proportional to 1,201.77, 1,658.49 and 704.34

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Solution

The fourth proportional to 1,201.77, 1,658.49 and 704.34 is: 972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.77 : 1,658.49 = 704.34 : x
  2. Step 2: Convert to fraction form
    1,201.77/1,658.49 = 704.34/x
  3. Step 3: Cross multiply
    1,201.77x = 1,658.49 × 704.34
  4. Step 4: Simplify right side
    1,201.77x = 1,168,140.85
  5. Step 5: Solve for x
    x = 1,168,140.85/1,201.77
  6. Step 6: Final answer
    x = 972.02

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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.