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Finding the Fourth Proportional to 1,340.56, 1,850.16 and 968.74

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Solution

The fourth proportional to 1,340.56, 1,850.16 and 968.74 is: 1,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.56 : 1,850.16 = 968.74 : x
  2. Step 2: Convert to fraction form
    1,340.56/1,850.16 = 968.74/x
  3. Step 3: Cross multiply
    1,340.56x = 1,850.16 × 968.74
  4. Step 4: Simplify right side
    1,340.56x = 1,792,324.00
  5. Step 5: Solve for x
    x = 1,792,324.00/1,340.56
  6. Step 6: Final answer
    x = 1,337.00

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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.