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Finding the Fourth Proportional to 1,817.71, 2,726.57 and 722.01

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Solution

The fourth proportional to 1,817.71, 2,726.57 and 722.01 is: 1,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.71 : 2,726.57 = 722.01 : x
  2. Step 2: Convert to fraction form
    1,817.71/2,726.57 = 722.01/x
  3. Step 3: Cross multiply
    1,817.71x = 2,726.57 × 722.01
  4. Step 4: Simplify right side
    1,817.71x = 1,968,610.81
  5. Step 5: Solve for x
    x = 1,968,610.81/1,817.71
  6. Step 6: Final answer
    x = 1,083.02

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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.