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Finding the Fourth Proportional to 800.45, 1,105.12 and 613.58

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Solution

The fourth proportional to 800.45, 1,105.12 and 613.58 is: 847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.45 : 1,105.12 = 613.58 : x
  2. Step 2: Convert to fraction form
    800.45/1,105.12 = 613.58/x
  3. Step 3: Cross multiply
    800.45x = 1,105.12 × 613.58
  4. Step 4: Simplify right side
    800.45x = 678,076.46
  5. Step 5: Solve for x
    x = 678,076.46/800.45
  6. Step 6: Final answer
    x = 847.12

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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.