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Finding the Fourth Proportional to 1,197.83, 1,652.99 and 673.85

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Solution

The fourth proportional to 1,197.83, 1,652.99 and 673.85 is: 929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.83 : 1,652.99 = 673.85 : x
  2. Step 2: Convert to fraction form
    1,197.83/1,652.99 = 673.85/x
  3. Step 3: Cross multiply
    1,197.83x = 1,652.99 × 673.85
  4. Step 4: Simplify right side
    1,197.83x = 1,113,868.07
  5. Step 5: Solve for x
    x = 1,113,868.07/1,197.83
  6. Step 6: Final answer
    x = 929.90

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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.