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Finding the Fourth Proportional to 1,020.42, 1,528.20 and 815.15

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Solution

The fourth proportional to 1,020.42, 1,528.20 and 815.15 is: 1,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.42 : 1,528.20 = 815.15 : x
  2. Step 2: Convert to fraction form
    1,020.42/1,528.20 = 815.15/x
  3. Step 3: Cross multiply
    1,020.42x = 1,528.20 × 815.15
  4. Step 4: Simplify right side
    1,020.42x = 1,245,716.05
  5. Step 5: Solve for x
    x = 1,245,716.05/1,020.42
  6. Step 6: Final answer
    x = 1,220.79

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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.