Home / 1,384.28-2,075.83-459.59

Finding the Fourth Proportional to 1,384.28, 2,075.83 and 459.59

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Solution

The fourth proportional to 1,384.28, 2,075.83 and 459.59 is: 689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.28 : 2,075.83 = 459.59 : x
  2. Step 2: Convert to fraction form
    1,384.28/2,075.83 = 459.59/x
  3. Step 3: Cross multiply
    1,384.28x = 2,075.83 × 459.59
  4. Step 4: Simplify right side
    1,384.28x = 954,030.71
  5. Step 5: Solve for x
    x = 954,030.71/1,384.28
  6. Step 6: Final answer
    x = 689.19

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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.