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Finding the Fourth Proportional to 1,698.65, 2,546.18 and 966.65

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Solution

The fourth proportional to 1,698.65, 2,546.18 and 966.65 is: 1,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.65 : 2,546.18 = 966.65 : x
  2. Step 2: Convert to fraction form
    1,698.65/2,546.18 = 966.65/x
  3. Step 3: Cross multiply
    1,698.65x = 2,546.18 × 966.65
  4. Step 4: Simplify right side
    1,698.65x = 2,461,247.33
  5. Step 5: Solve for x
    x = 2,461,247.33/1,698.65
  6. Step 6: Final answer
    x = 1,448.95

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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.