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Finding the Fourth Proportional to 815.76, 1,222.80 and 450.72

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Solution

The fourth proportional to 815.76, 1,222.80 and 450.72 is: 675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.76 : 1,222.80 = 450.72 : x
  2. Step 2: Convert to fraction form
    815.76/1,222.80 = 450.72/x
  3. Step 3: Cross multiply
    815.76x = 1,222.80 × 450.72
  4. Step 4: Simplify right side
    815.76x = 551,140.42
  5. Step 5: Solve for x
    x = 551,140.42/815.76
  6. Step 6: Final answer
    x = 675.62

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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.