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Finding the Fourth Proportional to 1,143.66, 1,716.10 and 494.34

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Solution

The fourth proportional to 1,143.66, 1,716.10 and 494.34 is: 741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.66 : 1,716.10 = 494.34 : x
  2. Step 2: Convert to fraction form
    1,143.66/1,716.10 = 494.34/x
  3. Step 3: Cross multiply
    1,143.66x = 1,716.10 × 494.34
  4. Step 4: Simplify right side
    1,143.66x = 848,336.87
  5. Step 5: Solve for x
    x = 848,336.87/1,143.66
  6. Step 6: Final answer
    x = 741.77

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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.