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Finding the Fourth Proportional to 1,726.93, 2,591.90 and 905.79

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Solution

The fourth proportional to 1,726.93, 2,591.90 and 905.79 is: 1,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.93 : 2,591.90 = 905.79 : x
  2. Step 2: Convert to fraction form
    1,726.93/2,591.90 = 905.79/x
  3. Step 3: Cross multiply
    1,726.93x = 2,591.90 × 905.79
  4. Step 4: Simplify right side
    1,726.93x = 2,347,717.10
  5. Step 5: Solve for x
    x = 2,347,717.10/1,726.93
  6. Step 6: Final answer
    x = 1,359.47

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1.5x scale

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.