Home / 1,383.35-2,075.32-459.20

Finding the Fourth Proportional to 1,383.35, 2,075.32 and 459.20

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Solution

The fourth proportional to 1,383.35, 2,075.32 and 459.20 is: 688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.35 : 2,075.32 = 459.20 : x
  2. Step 2: Convert to fraction form
    1,383.35/2,075.32 = 459.20/x
  3. Step 3: Cross multiply
    1,383.35x = 2,075.32 × 459.20
  4. Step 4: Simplify right side
    1,383.35x = 952,992.71
  5. Step 5: Solve for x
    x = 952,992.71/1,383.35
  6. Step 6: Final answer
    x = 688.90

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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.