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Finding the Fourth Proportional to 1,292.29, 1,782.64 and 843.53

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Solution

The fourth proportional to 1,292.29, 1,782.64 and 843.53 is: 1,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.29 : 1,782.64 = 843.53 : x
  2. Step 2: Convert to fraction form
    1,292.29/1,782.64 = 843.53/x
  3. Step 3: Cross multiply
    1,292.29x = 1,782.64 × 843.53
  4. Step 4: Simplify right side
    1,292.29x = 1,503,697.19
  5. Step 5: Solve for x
    x = 1,503,697.19/1,292.29
  6. Step 6: Final answer
    x = 1,163.59

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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.