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Finding the Fourth Proportional to 723.69, 998.73 and 413.19

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Solution

The fourth proportional to 723.69, 998.73 and 413.19 is: 570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.69 : 998.73 = 413.19 : x
  2. Step 2: Convert to fraction form
    723.69/998.73 = 413.19/x
  3. Step 3: Cross multiply
    723.69x = 998.73 × 413.19
  4. Step 4: Simplify right side
    723.69x = 412,665.25
  5. Step 5: Solve for x
    x = 412,665.25/723.69
  6. Step 6: Final answer
    x = 570.22

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.