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Finding the Fourth Proportional to 1,348.08, 1,859.12 and 849.85

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Solution

The fourth proportional to 1,348.08, 1,859.12 and 849.85 is: 1,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.08 : 1,859.12 = 849.85 : x
  2. Step 2: Convert to fraction form
    1,348.08/1,859.12 = 849.85/x
  3. Step 3: Cross multiply
    1,348.08x = 1,859.12 × 849.85
  4. Step 4: Simplify right side
    1,348.08x = 1,579,982.29
  5. Step 5: Solve for x
    x = 1,579,982.29/1,348.08
  6. Step 6: Final answer
    x = 1,172.02

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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.