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Finding the Fourth Proportional to 815.40, 1,223.52 and 450.12

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Solution

The fourth proportional to 815.40, 1,223.52 and 450.12 is: 675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.40 : 1,223.52 = 450.12 : x
  2. Step 2: Convert to fraction form
    815.40/1,223.52 = 450.12/x
  3. Step 3: Cross multiply
    815.40x = 1,223.52 × 450.12
  4. Step 4: Simplify right side
    815.40x = 550,730.82
  5. Step 5: Solve for x
    x = 550,730.82/815.40
  6. Step 6: Final answer
    x = 675.41

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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.