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Finding the Fourth Proportional to 1,229.10, 1,696.08 and 698.01

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Solution

The fourth proportional to 1,229.10, 1,696.08 and 698.01 is: 963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.10 : 1,696.08 = 698.01 : x
  2. Step 2: Convert to fraction form
    1,229.10/1,696.08 = 698.01/x
  3. Step 3: Cross multiply
    1,229.10x = 1,696.08 × 698.01
  4. Step 4: Simplify right side
    1,229.10x = 1,183,880.80
  5. Step 5: Solve for x
    x = 1,183,880.80/1,229.10
  6. Step 6: Final answer
    x = 963.21

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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.