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Finding the Fourth Proportional to 1,758.88, 2,637.68 and 662.68

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Solution

The fourth proportional to 1,758.88, 2,637.68 and 662.68 is: 993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.88 : 2,637.68 = 662.68 : x
  2. Step 2: Convert to fraction form
    1,758.88/2,637.68 = 662.68/x
  3. Step 3: Cross multiply
    1,758.88x = 2,637.68 × 662.68
  4. Step 4: Simplify right side
    1,758.88x = 1,747,937.78
  5. Step 5: Solve for x
    x = 1,747,937.78/1,758.88
  6. Step 6: Final answer
    x = 993.78

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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.