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Finding the Fourth Proportional to 815.10, 1,225.35 and 696.30

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Solution

The fourth proportional to 815.10, 1,225.35 and 696.30 is: 1,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.10 : 1,225.35 = 696.30 : x
  2. Step 2: Convert to fraction form
    815.10/1,225.35 = 696.30/x
  3. Step 3: Cross multiply
    815.10x = 1,225.35 × 696.30
  4. Step 4: Simplify right side
    815.10x = 853,211.21
  5. Step 5: Solve for x
    x = 853,211.21/815.10
  6. Step 6: Final answer
    x = 1,046.76

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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.