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Finding the Fourth Proportional to 1,108.47, 1,655.97 and 793.62

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Solution

The fourth proportional to 1,108.47, 1,655.97 and 793.62 is: 1,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.47 : 1,655.97 = 793.62 : x
  2. Step 2: Convert to fraction form
    1,108.47/1,655.97 = 793.62/x
  3. Step 3: Cross multiply
    1,108.47x = 1,655.97 × 793.62
  4. Step 4: Simplify right side
    1,108.47x = 1,314,210.91
  5. Step 5: Solve for x
    x = 1,314,210.91/1,108.47
  6. Step 6: Final answer
    x = 1,185.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.