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Finding the Fourth Proportional to 1,370.57, 2,055.20 and 711.78

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Solution

The fourth proportional to 1,370.57, 2,055.20 and 711.78 is: 1,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.57 : 2,055.20 = 711.78 : x
  2. Step 2: Convert to fraction form
    1,370.57/2,055.20 = 711.78/x
  3. Step 3: Cross multiply
    1,370.57x = 2,055.20 × 711.78
  4. Step 4: Simplify right side
    1,370.57x = 1,462,851.11
  5. Step 5: Solve for x
    x = 1,462,851.11/1,370.57
  6. Step 6: Final answer
    x = 1,067.33

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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.