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Finding the Fourth Proportional to 1,377.57, 2,066.37 and 829.08

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Solution

The fourth proportional to 1,377.57, 2,066.37 and 829.08 is: 1,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.57 : 2,066.37 = 829.08 : x
  2. Step 2: Convert to fraction form
    1,377.57/2,066.37 = 829.08/x
  3. Step 3: Cross multiply
    1,377.57x = 2,066.37 × 829.08
  4. Step 4: Simplify right side
    1,377.57x = 1,713,186.04
  5. Step 5: Solve for x
    x = 1,713,186.04/1,377.57
  6. Step 6: Final answer
    x = 1,243.63

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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.