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Finding the Fourth Proportional to 1,044.86, 1,565.94 and 905.54

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Solution

The fourth proportional to 1,044.86, 1,565.94 and 905.54 is: 1,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.86 : 1,565.94 = 905.54 : x
  2. Step 2: Convert to fraction form
    1,044.86/1,565.94 = 905.54/x
  3. Step 3: Cross multiply
    1,044.86x = 1,565.94 × 905.54
  4. Step 4: Simplify right side
    1,044.86x = 1,418,021.31
  5. Step 5: Solve for x
    x = 1,418,021.31/1,044.86
  6. Step 6: Final answer
    x = 1,357.14

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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.