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Finding the Fourth Proportional to 1,692.47, 2,538.74 and 522.47

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Solution

The fourth proportional to 1,692.47, 2,538.74 and 522.47 is: 783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.47 : 2,538.74 = 522.47 : x
  2. Step 2: Convert to fraction form
    1,692.47/2,538.74 = 522.47/x
  3. Step 3: Cross multiply
    1,692.47x = 2,538.74 × 522.47
  4. Step 4: Simplify right side
    1,692.47x = 1,326,427.90
  5. Step 5: Solve for x
    x = 1,326,427.90/1,692.47
  6. Step 6: Final answer
    x = 783.72

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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.