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Finding the Fourth Proportional to 1,728.66, 2,385.62 and 982.74

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Solution

The fourth proportional to 1,728.66, 2,385.62 and 982.74 is: 1,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.66 : 2,385.62 = 982.74 : x
  2. Step 2: Convert to fraction form
    1,728.66/2,385.62 = 982.74/x
  3. Step 3: Cross multiply
    1,728.66x = 2,385.62 × 982.74
  4. Step 4: Simplify right side
    1,728.66x = 2,344,439.29
  5. Step 5: Solve for x
    x = 2,344,439.29/1,728.66
  6. Step 6: Final answer
    x = 1,356.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.