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Finding the Fourth Proportional to 800.12, 1,102.67 and 578.69

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Solution

The fourth proportional to 800.12, 1,102.67 and 578.69 is: 797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.12 : 1,102.67 = 578.69 : x
  2. Step 2: Convert to fraction form
    800.12/1,102.67 = 578.69/x
  3. Step 3: Cross multiply
    800.12x = 1,102.67 × 578.69
  4. Step 4: Simplify right side
    800.12x = 638,104.10
  5. Step 5: Solve for x
    x = 638,104.10/800.12
  6. Step 6: Final answer
    x = 797.51

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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.