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Finding the Fourth Proportional to 800.79, 1,105.10 and 446.71

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Solution

The fourth proportional to 800.79, 1,105.10 and 446.71 is: 616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.79 : 1,105.10 = 446.71 : x
  2. Step 2: Convert to fraction form
    800.79/1,105.10 = 446.71/x
  3. Step 3: Cross multiply
    800.79x = 1,105.10 × 446.71
  4. Step 4: Simplify right side
    800.79x = 493,659.22
  5. Step 5: Solve for x
    x = 493,659.22/800.79
  6. Step 6: Final answer
    x = 616.47

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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.