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Finding the Fourth Proportional to 1,267.36, 1,900.96 and 536.80

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Solution

The fourth proportional to 1,267.36, 1,900.96 and 536.80 is: 805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.36 : 1,900.96 = 536.80 : x
  2. Step 2: Convert to fraction form
    1,267.36/1,900.96 = 536.80/x
  3. Step 3: Cross multiply
    1,267.36x = 1,900.96 × 536.80
  4. Step 4: Simplify right side
    1,267.36x = 1,020,435.33
  5. Step 5: Solve for x
    x = 1,020,435.33/1,267.36
  6. Step 6: Final answer
    x = 805.17

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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.