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Finding the Fourth Proportional to 1,489.36, 2,233.77 and 564.61

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Solution

The fourth proportional to 1,489.36, 2,233.77 and 564.61 is: 846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.36 : 2,233.77 = 564.61 : x
  2. Step 2: Convert to fraction form
    1,489.36/2,233.77 = 564.61/x
  3. Step 3: Cross multiply
    1,489.36x = 2,233.77 × 564.61
  4. Step 4: Simplify right side
    1,489.36x = 1,261,211.67
  5. Step 5: Solve for x
    x = 1,261,211.67/1,489.36
  6. Step 6: Final answer
    x = 846.81

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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.