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Finding the Fourth Proportional to 1,382.99, 2,075.09 and 653.09

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Solution

The fourth proportional to 1,382.99, 2,075.09 and 653.09 is: 979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.99 : 2,075.09 = 653.09 : x
  2. Step 2: Convert to fraction form
    1,382.99/2,075.09 = 653.09/x
  3. Step 3: Cross multiply
    1,382.99x = 2,075.09 × 653.09
  4. Step 4: Simplify right side
    1,382.99x = 1,355,206.89
  5. Step 5: Solve for x
    x = 1,355,206.89/1,382.99
  6. Step 6: Final answer
    x = 979.91

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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.