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Finding the Fourth Proportional to 1,698.66, 2,343.54 and 1,344.65

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Solution

The fourth proportional to 1,698.66, 2,343.54 and 1,344.65 is: 1,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.66 : 2,343.54 = 1,344.65 : x
  2. Step 2: Convert to fraction form
    1,698.66/2,343.54 = 1,344.65/x
  3. Step 3: Cross multiply
    1,698.66x = 2,343.54 × 1,344.65
  4. Step 4: Simplify right side
    1,698.66x = 3,151,229.34
  5. Step 5: Solve for x
    x = 3,151,229.34/1,698.66
  6. Step 6: Final answer
    x = 1,855.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.