Home / 1,193.13-1,789.36-413.10

Finding the Fourth Proportional to 1,193.13, 1,789.36 and 413.10

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Solution

The fourth proportional to 1,193.13, 1,789.36 and 413.10 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.13 : 1,789.36 = 413.10 : x
  2. Step 2: Convert to fraction form
    1,193.13/1,789.36 = 413.10/x
  3. Step 3: Cross multiply
    1,193.13x = 1,789.36 × 413.10
  4. Step 4: Simplify right side
    1,193.13x = 739,189.52
  5. Step 5: Solve for x
    x = 739,189.52/1,193.13
  6. Step 6: Final answer
    x = 619.54

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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.