Home / 1,383.30-2,075.07-458.82

Finding the Fourth Proportional to 1,383.30, 2,075.07 and 458.82

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Solution

The fourth proportional to 1,383.30, 2,075.07 and 458.82 is: 688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.30 : 2,075.07 = 458.82 : x
  2. Step 2: Convert to fraction form
    1,383.30/2,075.07 = 458.82/x
  3. Step 3: Cross multiply
    1,383.30x = 2,075.07 × 458.82
  4. Step 4: Simplify right side
    1,383.30x = 952,083.62
  5. Step 5: Solve for x
    x = 952,083.62/1,383.30
  6. Step 6: Final answer
    x = 688.27

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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.