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Finding the Fourth Proportional to 942.91, 1,413.21 and 394.45

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Solution

The fourth proportional to 942.91, 1,413.21 and 394.45 is: 591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.91 : 1,413.21 = 394.45 : x
  2. Step 2: Convert to fraction form
    942.91/1,413.21 = 394.45/x
  3. Step 3: Cross multiply
    942.91x = 1,413.21 × 394.45
  4. Step 4: Simplify right side
    942.91x = 557,438.63
  5. Step 5: Solve for x
    x = 557,438.63/942.91
  6. Step 6: Final answer
    x = 591.19

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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.