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Finding the Fourth Proportional to 1,692.88, 2,539.72 and 538.63

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Solution

The fourth proportional to 1,692.88, 2,539.72 and 538.63 is: 808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.88 : 2,539.72 = 538.63 : x
  2. Step 2: Convert to fraction form
    1,692.88/2,539.72 = 538.63/x
  3. Step 3: Cross multiply
    1,692.88x = 2,539.72 × 538.63
  4. Step 4: Simplify right side
    1,692.88x = 1,367,969.38
  5. Step 5: Solve for x
    x = 1,367,969.38/1,692.88
  6. Step 6: Final answer
    x = 808.07

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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.