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Finding the Fourth Proportional to 1,197.67, 1,796.51 and 785.78

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Solution

The fourth proportional to 1,197.67, 1,796.51 and 785.78 is: 1,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.67 : 1,796.51 = 785.78 : x
  2. Step 2: Convert to fraction form
    1,197.67/1,796.51 = 785.78/x
  3. Step 3: Cross multiply
    1,197.67x = 1,796.51 × 785.78
  4. Step 4: Simplify right side
    1,197.67x = 1,411,662.19
  5. Step 5: Solve for x
    x = 1,411,662.19/1,197.67
  6. Step 6: Final answer
    x = 1,178.68

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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.