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Finding the Fourth Proportional to 1,133.22, 1,691.22 and 1,104.06

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Solution

The fourth proportional to 1,133.22, 1,691.22 and 1,104.06 is: 1,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.22 : 1,691.22 = 1,104.06 : x
  2. Step 2: Convert to fraction form
    1,133.22/1,691.22 = 1,104.06/x
  3. Step 3: Cross multiply
    1,133.22x = 1,691.22 × 1,104.06
  4. Step 4: Simplify right side
    1,133.22x = 1,867,208.35
  5. Step 5: Solve for x
    x = 1,867,208.35/1,133.22
  6. Step 6: Final answer
    x = 1,647.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.