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Finding the Fourth Proportional to 1,029.78, 1,418.13 and 843.93

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Solution

The fourth proportional to 1,029.78, 1,418.13 and 843.93 is: 1,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.78 : 1,418.13 = 843.93 : x
  2. Step 2: Convert to fraction form
    1,029.78/1,418.13 = 843.93/x
  3. Step 3: Cross multiply
    1,029.78x = 1,418.13 × 843.93
  4. Step 4: Simplify right side
    1,029.78x = 1,196,802.45
  5. Step 5: Solve for x
    x = 1,196,802.45/1,029.78
  6. Step 6: Final answer
    x = 1,162.19

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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.