Home / 1,103.19-1,652.37-795.66

Finding the Fourth Proportional to 1,103.19, 1,652.37 and 795.66

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Solution

The fourth proportional to 1,103.19, 1,652.37 and 795.66 is: 1,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.19 : 1,652.37 = 795.66 : x
  2. Step 2: Convert to fraction form
    1,103.19/1,652.37 = 795.66/x
  3. Step 3: Cross multiply
    1,103.19x = 1,652.37 × 795.66
  4. Step 4: Simplify right side
    1,103.19x = 1,314,724.71
  5. Step 5: Solve for x
    x = 1,314,724.71/1,103.19
  6. Step 6: Final answer
    x = 1,191.75

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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.