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Finding the Fourth Proportional to 1,664.17, 2,494.33 and 689.06

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Solution

The fourth proportional to 1,664.17, 2,494.33 and 689.06 is: 1,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.17 : 2,494.33 = 689.06 : x
  2. Step 2: Convert to fraction form
    1,664.17/2,494.33 = 689.06/x
  3. Step 3: Cross multiply
    1,664.17x = 2,494.33 × 689.06
  4. Step 4: Simplify right side
    1,664.17x = 1,718,747.54
  5. Step 5: Solve for x
    x = 1,718,747.54/1,664.17
  6. Step 6: Final answer
    x = 1,032.80

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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.