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Finding the Fourth Proportional to 1,362.89, 2,044.96 and 582.80

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Solution

The fourth proportional to 1,362.89, 2,044.96 and 582.80 is: 874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.89 : 2,044.96 = 582.80 : x
  2. Step 2: Convert to fraction form
    1,362.89/2,044.96 = 582.80/x
  3. Step 3: Cross multiply
    1,362.89x = 2,044.96 × 582.80
  4. Step 4: Simplify right side
    1,362.89x = 1,191,791.01
  5. Step 5: Solve for x
    x = 1,191,791.01/1,362.89
  6. Step 6: Final answer
    x = 874.46

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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.