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Finding the Fourth Proportional to 1,362.86, 2,044.34 and 485.46

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Solution

The fourth proportional to 1,362.86, 2,044.34 and 485.46 is: 728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.86 : 2,044.34 = 485.46 : x
  2. Step 2: Convert to fraction form
    1,362.86/2,044.34 = 485.46/x
  3. Step 3: Cross multiply
    1,362.86x = 2,044.34 × 485.46
  4. Step 4: Simplify right side
    1,362.86x = 992,442.87
  5. Step 5: Solve for x
    x = 992,442.87/1,362.86
  6. Step 6: Final answer
    x = 728.21

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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.