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Finding the Fourth Proportional to 1,726.52, 2,590.49 and 905.33

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Solution

The fourth proportional to 1,726.52, 2,590.49 and 905.33 is: 1,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.52 : 2,590.49 = 905.33 : x
  2. Step 2: Convert to fraction form
    1,726.52/2,590.49 = 905.33/x
  3. Step 3: Cross multiply
    1,726.52x = 2,590.49 × 905.33
  4. Step 4: Simplify right side
    1,726.52x = 2,345,248.31
  5. Step 5: Solve for x
    x = 2,345,248.31/1,726.52
  6. Step 6: Final answer
    x = 1,358.37

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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.