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Finding the Fourth Proportional to 1,151.08, 1,726.21 and 371.05

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Solution

The fourth proportional to 1,151.08, 1,726.21 and 371.05 is: 556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.08 : 1,726.21 = 371.05 : x
  2. Step 2: Convert to fraction form
    1,151.08/1,726.21 = 371.05/x
  3. Step 3: Cross multiply
    1,151.08x = 1,726.21 × 371.05
  4. Step 4: Simplify right side
    1,151.08x = 640,510.22
  5. Step 5: Solve for x
    x = 640,510.22/1,151.08
  6. Step 6: Final answer
    x = 556.44

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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.