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Finding the Fourth Proportional to 1,757.75, 2,637.02 and 662.13

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Solution

The fourth proportional to 1,757.75, 2,637.02 and 662.13 is: 993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.75 : 2,637.02 = 662.13 : x
  2. Step 2: Convert to fraction form
    1,757.75/2,637.02 = 662.13/x
  3. Step 3: Cross multiply
    1,757.75x = 2,637.02 × 662.13
  4. Step 4: Simplify right side
    1,757.75x = 1,746,051.71
  5. Step 5: Solve for x
    x = 1,746,051.71/1,757.75
  6. Step 6: Final answer
    x = 993.35

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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.