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Finding the Fourth Proportional to 1,758.43, 2,637.16 and 662.20

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Solution

The fourth proportional to 1,758.43, 2,637.16 and 662.20 is: 993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.43 : 2,637.16 = 662.20 : x
  2. Step 2: Convert to fraction form
    1,758.43/2,637.16 = 662.20/x
  3. Step 3: Cross multiply
    1,758.43x = 2,637.16 × 662.20
  4. Step 4: Simplify right side
    1,758.43x = 1,746,327.35
  5. Step 5: Solve for x
    x = 1,746,327.35/1,758.43
  6. Step 6: Final answer
    x = 993.12

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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.