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Finding the Fourth Proportional to 1,660.74, 2,490.32 and 967.61

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Solution

The fourth proportional to 1,660.74, 2,490.32 and 967.61 is: 1,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.74 : 2,490.32 = 967.61 : x
  2. Step 2: Convert to fraction form
    1,660.74/2,490.32 = 967.61/x
  3. Step 3: Cross multiply
    1,660.74x = 2,490.32 × 967.61
  4. Step 4: Simplify right side
    1,660.74x = 2,409,641.25
  5. Step 5: Solve for x
    x = 2,409,641.25/1,660.74
  6. Step 6: Final answer
    x = 1,450.94

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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.