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Finding the Fourth Proportional to 815.20, 1,223.72 and 450.32

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Solution

The fourth proportional to 815.20, 1,223.72 and 450.32 is: 675.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.20 : 1,223.72 = 450.32 : x
  2. Step 2: Convert to fraction form
    815.20/1,223.72 = 450.32/x
  3. Step 3: Cross multiply
    815.20x = 1,223.72 × 450.32
  4. Step 4: Simplify right side
    815.20x = 551,065.59
  5. Step 5: Solve for x
    x = 551,065.59/815.20
  6. Step 6: Final answer
    x = 675.99

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