Home / 1,424.16-2,135.16-692.19

Finding the Fourth Proportional to 1,424.16, 2,135.16 and 692.19

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Solution

The fourth proportional to 1,424.16, 2,135.16 and 692.19 is: 1,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.16 : 2,135.16 = 692.19 : x
  2. Step 2: Convert to fraction form
    1,424.16/2,135.16 = 692.19/x
  3. Step 3: Cross multiply
    1,424.16x = 2,135.16 × 692.19
  4. Step 4: Simplify right side
    1,424.16x = 1,477,936.40
  5. Step 5: Solve for x
    x = 1,477,936.40/1,424.16
  6. Step 6: Final answer
    x = 1,037.76

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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.