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Finding the Fourth Proportional to 1,659.70, 2,490.41 and 735.89

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Solution

The fourth proportional to 1,659.70, 2,490.41 and 735.89 is: 1,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.70 : 2,490.41 = 735.89 : x
  2. Step 2: Convert to fraction form
    1,659.70/2,490.41 = 735.89/x
  3. Step 3: Cross multiply
    1,659.70x = 2,490.41 × 735.89
  4. Step 4: Simplify right side
    1,659.70x = 1,832,671.21
  5. Step 5: Solve for x
    x = 1,832,671.21/1,659.70
  6. Step 6: Final answer
    x = 1,104.22

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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.