Home / 1,384.26-2,075.96-410.12

Finding the Fourth Proportional to 1,384.26, 2,075.96 and 410.12

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Solution

The fourth proportional to 1,384.26, 2,075.96 and 410.12 is: 615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.26 : 2,075.96 = 410.12 : x
  2. Step 2: Convert to fraction form
    1,384.26/2,075.96 = 410.12/x
  3. Step 3: Cross multiply
    1,384.26x = 2,075.96 × 410.12
  4. Step 4: Simplify right side
    1,384.26x = 851,392.72
  5. Step 5: Solve for x
    x = 851,392.72/1,384.26
  6. Step 6: Final answer
    x = 615.05

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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.