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Finding the Fourth Proportional to 1,315.58, 1,815.46 and 791.51

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Solution

The fourth proportional to 1,315.58, 1,815.46 and 791.51 is: 1,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.58 : 1,815.46 = 791.51 : x
  2. Step 2: Convert to fraction form
    1,315.58/1,815.46 = 791.51/x
  3. Step 3: Cross multiply
    1,315.58x = 1,815.46 × 791.51
  4. Step 4: Simplify right side
    1,315.58x = 1,436,954.74
  5. Step 5: Solve for x
    x = 1,436,954.74/1,315.58
  6. Step 6: Final answer
    x = 1,092.26

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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.