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Finding the Fourth Proportional to 1,197.63, 1,652.66 and 673.63

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Solution

The fourth proportional to 1,197.63, 1,652.66 and 673.63 is: 929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.63 : 1,652.66 = 673.63 : x
  2. Step 2: Convert to fraction form
    1,197.63/1,652.66 = 673.63/x
  3. Step 3: Cross multiply
    1,197.63x = 1,652.66 × 673.63
  4. Step 4: Simplify right side
    1,197.63x = 1,113,273.09
  5. Step 5: Solve for x
    x = 1,113,273.09/1,197.63
  6. Step 6: Final answer
    x = 929.56

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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.