Home / 1,692.30-2,538.15-459.56

Finding the Fourth Proportional to 1,692.30, 2,538.15 and 459.56

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Solution

The fourth proportional to 1,692.30, 2,538.15 and 459.56 is: 689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.30 : 2,538.15 = 459.56 : x
  2. Step 2: Convert to fraction form
    1,692.30/2,538.15 = 459.56/x
  3. Step 3: Cross multiply
    1,692.30x = 2,538.15 × 459.56
  4. Step 4: Simplify right side
    1,692.30x = 1,166,419.52
  5. Step 5: Solve for x
    x = 1,166,419.52/1,692.30
  6. Step 6: Final answer
    x = 689.25

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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.