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Finding the Fourth Proportional to 1,158.75, 1,745.06 and 1,055.07

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Solution

The fourth proportional to 1,158.75, 1,745.06 and 1,055.07 is: 1,588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.75 : 1,745.06 = 1,055.07 : x
  2. Step 2: Convert to fraction form
    1,158.75/1,745.06 = 1,055.07/x
  3. Step 3: Cross multiply
    1,158.75x = 1,745.06 × 1,055.07
  4. Step 4: Simplify right side
    1,158.75x = 1,841,163.09
  5. Step 5: Solve for x
    x = 1,841,163.09/1,158.75
  6. Step 6: Final answer
    x = 1,588.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.