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Finding the Fourth Proportional to 808.75, 1,213.57 and 564.81

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Solution

The fourth proportional to 808.75, 1,213.57 and 564.81 is: 847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.75 : 1,213.57 = 564.81 : x
  2. Step 2: Convert to fraction form
    808.75/1,213.57 = 564.81/x
  3. Step 3: Cross multiply
    808.75x = 1,213.57 × 564.81
  4. Step 4: Simplify right side
    808.75x = 685,429.45
  5. Step 5: Solve for x
    x = 685,429.45/808.75
  6. Step 6: Final answer
    x = 847.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.