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Finding the Fourth Proportional to 1,692.25, 2,538.51 and 538

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Solution

The fourth proportional to 1,692.25, 2,538.51 and 538 is: 807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.25 : 2,538.51 = 538 : x
  2. Step 2: Convert to fraction form
    1,692.25/2,538.51 = 538/x
  3. Step 3: Cross multiply
    1,692.25x = 2,538.51 × 538
  4. Step 4: Simplify right side
    1,692.25x = 1,365,718.38
  5. Step 5: Solve for x
    x = 1,365,718.38/1,692.25
  6. Step 6: Final answer
    x = 807.04

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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.