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Finding the Fourth Proportional to 1,440.12, 2,160.22 and 466.22

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Solution

The fourth proportional to 1,440.12, 2,160.22 and 466.22 is: 699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.12 : 2,160.22 = 466.22 : x
  2. Step 2: Convert to fraction form
    1,440.12/2,160.22 = 466.22/x
  3. Step 3: Cross multiply
    1,440.12x = 2,160.22 × 466.22
  4. Step 4: Simplify right side
    1,440.12x = 1,007,137.77
  5. Step 5: Solve for x
    x = 1,007,137.77/1,440.12
  6. Step 6: Final answer
    x = 699.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.