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Finding the Fourth Proportional to 1,661.93, 2,491.09 and 783.69

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Solution

The fourth proportional to 1,661.93, 2,491.09 and 783.69 is: 1,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.93 : 2,491.09 = 783.69 : x
  2. Step 2: Convert to fraction form
    1,661.93/2,491.09 = 783.69/x
  3. Step 3: Cross multiply
    1,661.93x = 2,491.09 × 783.69
  4. Step 4: Simplify right side
    1,661.93x = 1,952,242.32
  5. Step 5: Solve for x
    x = 1,952,242.32/1,661.93
  6. Step 6: Final answer
    x = 1,174.68

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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.