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Finding the Fourth Proportional to 1,775.93, 2,662.27 and 681.01

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Solution

The fourth proportional to 1,775.93, 2,662.27 and 681.01 is: 1,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.93 : 2,662.27 = 681.01 : x
  2. Step 2: Convert to fraction form
    1,775.93/2,662.27 = 681.01/x
  3. Step 3: Cross multiply
    1,775.93x = 2,662.27 × 681.01
  4. Step 4: Simplify right side
    1,775.93x = 1,813,024.13
  5. Step 5: Solve for x
    x = 1,813,024.13/1,775.93
  6. Step 6: Final answer
    x = 1,020.89

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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.