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Finding the Fourth Proportional to 1,160.93, 1,741.50 and 613.17

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Solution

The fourth proportional to 1,160.93, 1,741.50 and 613.17 is: 919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.93 : 1,741.50 = 613.17 : x
  2. Step 2: Convert to fraction form
    1,160.93/1,741.50 = 613.17/x
  3. Step 3: Cross multiply
    1,160.93x = 1,741.50 × 613.17
  4. Step 4: Simplify right side
    1,160.93x = 1,067,835.56
  5. Step 5: Solve for x
    x = 1,067,835.56/1,160.93
  6. Step 6: Final answer
    x = 919.81

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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.