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Finding the Fourth Proportional to 1,758.82, 2,638.43 and 588.98

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Solution

The fourth proportional to 1,758.82, 2,638.43 and 588.98 is: 883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.82 : 2,638.43 = 588.98 : x
  2. Step 2: Convert to fraction form
    1,758.82/2,638.43 = 588.98/x
  3. Step 3: Cross multiply
    1,758.82x = 2,638.43 × 588.98
  4. Step 4: Simplify right side
    1,758.82x = 1,553,982.50
  5. Step 5: Solve for x
    x = 1,553,982.50/1,758.82
  6. Step 6: Final answer
    x = 883.54

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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.