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Finding the Fourth Proportional to 1,442.90, 2,164.50 and 711.78

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Solution

The fourth proportional to 1,442.90, 2,164.50 and 711.78 is: 1,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.90 : 2,164.50 = 711.78 : x
  2. Step 2: Convert to fraction form
    1,442.90/2,164.50 = 711.78/x
  3. Step 3: Cross multiply
    1,442.90x = 2,164.50 × 711.78
  4. Step 4: Simplify right side
    1,442.90x = 1,540,647.81
  5. Step 5: Solve for x
    x = 1,540,647.81/1,442.90
  6. Step 6: Final answer
    x = 1,067.74

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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.