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Finding the Fourth Proportional to 1,062.55, 1,468.13 and 843.41

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Solution

The fourth proportional to 1,062.55, 1,468.13 and 843.41 is: 1,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.55 : 1,468.13 = 843.41 : x
  2. Step 2: Convert to fraction form
    1,062.55/1,468.13 = 843.41/x
  3. Step 3: Cross multiply
    1,062.55x = 1,468.13 × 843.41
  4. Step 4: Simplify right side
    1,062.55x = 1,238,234.98
  5. Step 5: Solve for x
    x = 1,238,234.98/1,062.55
  6. Step 6: Final answer
    x = 1,165.34

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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.