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Finding the Fourth Proportional to 942.43, 1,413.69 and 421.87

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Solution

The fourth proportional to 942.43, 1,413.69 and 421.87 is: 632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.43 : 1,413.69 = 421.87 : x
  2. Step 2: Convert to fraction form
    942.43/1,413.69 = 421.87/x
  3. Step 3: Cross multiply
    942.43x = 1,413.69 × 421.87
  4. Step 4: Simplify right side
    942.43x = 596,393.40
  5. Step 5: Solve for x
    x = 596,393.40/942.43
  6. Step 6: Final answer
    x = 632.83

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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.