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Finding the Fourth Proportional to 1,442.86, 2,163.75 and 620.71

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Solution

The fourth proportional to 1,442.86, 2,163.75 and 620.71 is: 930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.86 : 2,163.75 = 620.71 : x
  2. Step 2: Convert to fraction form
    1,442.86/2,163.75 = 620.71/x
  3. Step 3: Cross multiply
    1,442.86x = 2,163.75 × 620.71
  4. Step 4: Simplify right side
    1,442.86x = 1,343,061.26
  5. Step 5: Solve for x
    x = 1,343,061.26/1,442.86
  6. Step 6: Final answer
    x = 930.83

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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.