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Finding the Fourth Proportional to 1,197.52, 1,798.33 and 650.77

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Solution

The fourth proportional to 1,197.52, 1,798.33 and 650.77 is: 977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.52 : 1,798.33 = 650.77 : x
  2. Step 2: Convert to fraction form
    1,197.52/1,798.33 = 650.77/x
  3. Step 3: Cross multiply
    1,197.52x = 1,798.33 × 650.77
  4. Step 4: Simplify right side
    1,197.52x = 1,170,299.21
  5. Step 5: Solve for x
    x = 1,170,299.21/1,197.52
  6. Step 6: Final answer
    x = 977.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.