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Finding the Fourth Proportional to 815.07, 1,219.26 and 678.30

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Solution

The fourth proportional to 815.07, 1,219.26 and 678.30 is: 1,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.07 : 1,219.26 = 678.30 : x
  2. Step 2: Convert to fraction form
    815.07/1,219.26 = 678.30/x
  3. Step 3: Cross multiply
    815.07x = 1,219.26 × 678.30
  4. Step 4: Simplify right side
    815.07x = 827,024.06
  5. Step 5: Solve for x
    x = 827,024.06/815.07
  6. Step 6: Final answer
    x = 1,014.67

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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.