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Finding the Fourth Proportional to 1,309.04, 1,964.57 and 692.90

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Solution

The fourth proportional to 1,309.04, 1,964.57 and 692.90 is: 1,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.04 : 1,964.57 = 692.90 : x
  2. Step 2: Convert to fraction form
    1,309.04/1,964.57 = 692.90/x
  3. Step 3: Cross multiply
    1,309.04x = 1,964.57 × 692.90
  4. Step 4: Simplify right side
    1,309.04x = 1,361,237.27
  5. Step 5: Solve for x
    x = 1,361,237.27/1,309.04
  6. Step 6: Final answer
    x = 1,039.88

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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.