Home / 1,193.45-1,789.50-413.01

Finding the Fourth Proportional to 1,193.45, 1,789.50 and 413.01

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Solution

The fourth proportional to 1,193.45, 1,789.50 and 413.01 is: 619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.45 : 1,789.50 = 413.01 : x
  2. Step 2: Convert to fraction form
    1,193.45/1,789.50 = 413.01/x
  3. Step 3: Cross multiply
    1,193.45x = 1,789.50 × 413.01
  4. Step 4: Simplify right side
    1,193.45x = 739,081.40
  5. Step 5: Solve for x
    x = 739,081.40/1,193.45
  6. Step 6: Final answer
    x = 619.28

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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.