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Finding the Fourth Proportional to 1,489.21, 2,232.30 and 611.35

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Solution

The fourth proportional to 1,489.21, 2,232.30 and 611.35 is: 916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.21 : 2,232.30 = 611.35 : x
  2. Step 2: Convert to fraction form
    1,489.21/2,232.30 = 611.35/x
  3. Step 3: Cross multiply
    1,489.21x = 2,232.30 × 611.35
  4. Step 4: Simplify right side
    1,489.21x = 1,364,716.61
  5. Step 5: Solve for x
    x = 1,364,716.61/1,489.21
  6. Step 6: Final answer
    x = 916.40

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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.