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Finding the Fourth Proportional to 1,197.69, 1,796.43 and 417.63

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Solution

The fourth proportional to 1,197.69, 1,796.43 and 417.63 is: 626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.69 : 1,796.43 = 417.63 : x
  2. Step 2: Convert to fraction form
    1,197.69/1,796.43 = 417.63/x
  3. Step 3: Cross multiply
    1,197.69x = 1,796.43 × 417.63
  4. Step 4: Simplify right side
    1,197.69x = 750,243.06
  5. Step 5: Solve for x
    x = 750,243.06/1,197.69
  6. Step 6: Final answer
    x = 626.41

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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.