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Finding the Fourth Proportional to 1,369.77, 2,054.69 and 536.80

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Solution

The fourth proportional to 1,369.77, 2,054.69 and 536.80 is: 805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.77 : 2,054.69 = 536.80 : x
  2. Step 2: Convert to fraction form
    1,369.77/2,054.69 = 536.80/x
  3. Step 3: Cross multiply
    1,369.77x = 2,054.69 × 536.80
  4. Step 4: Simplify right side
    1,369.77x = 1,102,957.59
  5. Step 5: Solve for x
    x = 1,102,957.59/1,369.77
  6. Step 6: Final answer
    x = 805.21

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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.