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Finding the Fourth Proportional to 815.14, 1,222.50 and 685.24

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Solution

The fourth proportional to 815.14, 1,222.50 and 685.24 is: 1,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.14 : 1,222.50 = 685.24 : x
  2. Step 2: Convert to fraction form
    815.14/1,222.50 = 685.24/x
  3. Step 3: Cross multiply
    815.14x = 1,222.50 × 685.24
  4. Step 4: Simplify right side
    815.14x = 837,705.90
  5. Step 5: Solve for x
    x = 837,705.90/815.14
  6. Step 6: Final answer
    x = 1,027.68

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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.