Home / 1,383.42-2,075.30-459.08

Finding the Fourth Proportional to 1,383.42, 2,075.30 and 459.08

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Solution

The fourth proportional to 1,383.42, 2,075.30 and 459.08 is: 688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.42 : 2,075.30 = 459.08 : x
  2. Step 2: Convert to fraction form
    1,383.42/2,075.30 = 459.08/x
  3. Step 3: Cross multiply
    1,383.42x = 2,075.30 × 459.08
  4. Step 4: Simplify right side
    1,383.42x = 952,728.72
  5. Step 5: Solve for x
    x = 952,728.72/1,383.42
  6. Step 6: Final answer
    x = 688.68

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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.