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Finding the Fourth Proportional to 1,692.28, 2,538.23 and 459.79

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Solution

The fourth proportional to 1,692.28, 2,538.23 and 459.79 is: 689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.28 : 2,538.23 = 459.79 : x
  2. Step 2: Convert to fraction form
    1,692.28/2,538.23 = 459.79/x
  3. Step 3: Cross multiply
    1,692.28x = 2,538.23 × 459.79
  4. Step 4: Simplify right side
    1,692.28x = 1,167,044.13
  5. Step 5: Solve for x
    x = 1,167,044.13/1,692.28
  6. Step 6: Final answer
    x = 689.63

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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.