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Finding the Fourth Proportional to 1,868.28, 2,802.42 and 698.38

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Solution

The fourth proportional to 1,868.28, 2,802.42 and 698.38 is: 1,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.28 : 2,802.42 = 698.38 : x
  2. Step 2: Convert to fraction form
    1,868.28/2,802.42 = 698.38/x
  3. Step 3: Cross multiply
    1,868.28x = 2,802.42 × 698.38
  4. Step 4: Simplify right side
    1,868.28x = 1,957,140.07
  5. Step 5: Solve for x
    x = 1,957,140.07/1,868.28
  6. Step 6: Final answer
    x = 1,047.56

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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.