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Finding the Fourth Proportional to 800.36, 1,104.17 and 578.83

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Solution

The fourth proportional to 800.36, 1,104.17 and 578.83 is: 798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.36 : 1,104.17 = 578.83 : x
  2. Step 2: Convert to fraction form
    800.36/1,104.17 = 578.83/x
  3. Step 3: Cross multiply
    800.36x = 1,104.17 × 578.83
  4. Step 4: Simplify right side
    800.36x = 639,125.41
  5. Step 5: Solve for x
    x = 639,125.41/800.36
  6. Step 6: Final answer
    x = 798.54

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1.5x scale

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.