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Finding the Fourth Proportional to 1,705.98, 2,557.49 and 665.28

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Solution

The fourth proportional to 1,705.98, 2,557.49 and 665.28 is: 997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.98 : 2,557.49 = 665.28 : x
  2. Step 2: Convert to fraction form
    1,705.98/2,557.49 = 665.28/x
  3. Step 3: Cross multiply
    1,705.98x = 2,557.49 × 665.28
  4. Step 4: Simplify right side
    1,705.98x = 1,701,443.62
  5. Step 5: Solve for x
    x = 1,701,443.62/1,705.98
  6. Step 6: Final answer
    x = 997.34

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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.