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Finding the Fourth Proportional to 1,455.01, 2,007.86 and 791.87

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Solution

The fourth proportional to 1,455.01, 2,007.86 and 791.87 is: 1,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.01 : 2,007.86 = 791.87 : x
  2. Step 2: Convert to fraction form
    1,455.01/2,007.86 = 791.87/x
  3. Step 3: Cross multiply
    1,455.01x = 2,007.86 × 791.87
  4. Step 4: Simplify right side
    1,455.01x = 1,589,950.10
  5. Step 5: Solve for x
    x = 1,589,950.10/1,455.01
  6. Step 6: Final answer
    x = 1,092.74

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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.