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Finding the Fourth Proportional to 2,257.77, 3,386.36 and 698.85

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Solution

The fourth proportional to 2,257.77, 3,386.36 and 698.85 is: 1,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.77 : 3,386.36 = 698.85 : x
  2. Step 2: Convert to fraction form
    2,257.77/3,386.36 = 698.85/x
  3. Step 3: Cross multiply
    2,257.77x = 3,386.36 × 698.85
  4. Step 4: Simplify right side
    2,257.77x = 2,366,565.03
  5. Step 5: Solve for x
    x = 2,366,565.03/2,257.77
  6. Step 6: Final answer
    x = 1,048.19

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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.