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Finding the Fourth Proportional to 1,698.98, 2,545.39 and 775.31

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Solution

The fourth proportional to 1,698.98, 2,545.39 and 775.31 is: 1,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.98 : 2,545.39 = 775.31 : x
  2. Step 2: Convert to fraction form
    1,698.98/2,545.39 = 775.31/x
  3. Step 3: Cross multiply
    1,698.98x = 2,545.39 × 775.31
  4. Step 4: Simplify right side
    1,698.98x = 1,973,466.32
  5. Step 5: Solve for x
    x = 1,973,466.32/1,698.98
  6. Step 6: Final answer
    x = 1,161.56

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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.