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Finding the Fourth Proportional to 815.00, 1,219.28 and 569.86

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Solution

The fourth proportional to 815.00, 1,219.28 and 569.86 is: 852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.00 : 1,219.28 = 569.86 : x
  2. Step 2: Convert to fraction form
    815.00/1,219.28 = 569.86/x
  3. Step 3: Cross multiply
    815.00x = 1,219.28 × 569.86
  4. Step 4: Simplify right side
    815.00x = 694,813.00
  5. Step 5: Solve for x
    x = 694,813.00/815.00
  6. Step 6: Final answer
    x = 852.54

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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.