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Finding the Fourth Proportional to 942.96, 1,413.20 and 455.34

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Solution

The fourth proportional to 942.96, 1,413.20 and 455.34 is: 682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.96 : 1,413.20 = 455.34 : x
  2. Step 2: Convert to fraction form
    942.96/1,413.20 = 455.34/x
  3. Step 3: Cross multiply
    942.96x = 1,413.20 × 455.34
  4. Step 4: Simplify right side
    942.96x = 643,486.49
  5. Step 5: Solve for x
    x = 643,486.49/942.96
  6. Step 6: Final answer
    x = 682.41

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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.