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Finding the Fourth Proportional to 1,020.73, 1,410.68 and 771.97

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Solution

The fourth proportional to 1,020.73, 1,410.68 and 771.97 is: 1,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.73 : 1,410.68 = 771.97 : x
  2. Step 2: Convert to fraction form
    1,020.73/1,410.68 = 771.97/x
  3. Step 3: Cross multiply
    1,020.73x = 1,410.68 × 771.97
  4. Step 4: Simplify right side
    1,020.73x = 1,089,002.64
  5. Step 5: Solve for x
    x = 1,089,002.64/1,020.73
  6. Step 6: Final answer
    x = 1,066.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.