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Finding the Fourth Proportional to 1,817.81, 2,726.97 and 648.11

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Solution

The fourth proportional to 1,817.81, 2,726.97 and 648.11 is: 972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.81 : 2,726.97 = 648.11 : x
  2. Step 2: Convert to fraction form
    1,817.81/2,726.97 = 648.11/x
  3. Step 3: Cross multiply
    1,817.81x = 2,726.97 × 648.11
  4. Step 4: Simplify right side
    1,817.81x = 1,767,362.89
  5. Step 5: Solve for x
    x = 1,767,362.89/1,817.81
  6. Step 6: Final answer
    x = 972.25

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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.