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Finding the Fourth Proportional to 1,692.44, 2,539.07 and 538.19

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Solution

The fourth proportional to 1,692.44, 2,539.07 and 538.19 is: 807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.44 : 2,539.07 = 538.19 : x
  2. Step 2: Convert to fraction form
    1,692.44/2,539.07 = 538.19/x
  3. Step 3: Cross multiply
    1,692.44x = 2,539.07 × 538.19
  4. Step 4: Simplify right side
    1,692.44x = 1,366,502.08
  5. Step 5: Solve for x
    x = 1,366,502.08/1,692.44
  6. Step 6: Final answer
    x = 807.42

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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.