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Finding the Fourth Proportional to 800.39, 1,104.50 and 468.83

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Solution

The fourth proportional to 800.39, 1,104.50 and 468.83 is: 646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.39 : 1,104.50 = 468.83 : x
  2. Step 2: Convert to fraction form
    800.39/1,104.50 = 468.83/x
  3. Step 3: Cross multiply
    800.39x = 1,104.50 × 468.83
  4. Step 4: Simplify right side
    800.39x = 517,826.67
  5. Step 5: Solve for x
    x = 517,826.67/800.39
  6. Step 6: Final answer
    x = 646.97

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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.