Home / 1,383.42-2,075.13-409.45

Finding the Fourth Proportional to 1,383.42, 2,075.13 and 409.45

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Solution

The fourth proportional to 1,383.42, 2,075.13 and 409.45 is: 614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.42 : 2,075.13 = 409.45 : x
  2. Step 2: Convert to fraction form
    1,383.42/2,075.13 = 409.45/x
  3. Step 3: Cross multiply
    1,383.42x = 2,075.13 × 409.45
  4. Step 4: Simplify right side
    1,383.42x = 849,649.56
  5. Step 5: Solve for x
    x = 849,649.56/1,383.42
  6. Step 6: Final answer
    x = 614.17

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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.