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Finding the Fourth Proportional to 1,440.87, 2,161.32 and 467.07

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Solution

The fourth proportional to 1,440.87, 2,161.32 and 467.07 is: 700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.87 : 2,161.32 = 467.07 : x
  2. Step 2: Convert to fraction form
    1,440.87/2,161.32 = 467.07/x
  3. Step 3: Cross multiply
    1,440.87x = 2,161.32 × 467.07
  4. Step 4: Simplify right side
    1,440.87x = 1,009,487.73
  5. Step 5: Solve for x
    x = 1,009,487.73/1,440.87
  6. Step 6: Final answer
    x = 700.61

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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.