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Finding the Fourth Proportional to 1,020.27, 1,526.22 and 815.25

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Solution

The fourth proportional to 1,020.27, 1,526.22 and 815.25 is: 1,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.27 : 1,526.22 = 815.25 : x
  2. Step 2: Convert to fraction form
    1,020.27/1,526.22 = 815.25/x
  3. Step 3: Cross multiply
    1,020.27x = 1,526.22 × 815.25
  4. Step 4: Simplify right side
    1,020.27x = 1,244,250.86
  5. Step 5: Solve for x
    x = 1,244,250.86/1,020.27
  6. Step 6: Final answer
    x = 1,219.53

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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.