Home / 1,603.14-2,403.72-628.80

Finding the Fourth Proportional to 1,603.14, 2,403.72 and 628.80

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Solution

The fourth proportional to 1,603.14, 2,403.72 and 628.80 is: 942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.14 : 2,403.72 = 628.80 : x
  2. Step 2: Convert to fraction form
    1,603.14/2,403.72 = 628.80/x
  3. Step 3: Cross multiply
    1,603.14x = 2,403.72 × 628.80
  4. Step 4: Simplify right side
    1,603.14x = 1,511,459.14
  5. Step 5: Solve for x
    x = 1,511,459.14/1,603.14
  6. Step 6: Final answer
    x = 942.81

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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.