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Finding the Fourth Proportional to 942.64, 1,413.10 and 422.21

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Solution

The fourth proportional to 942.64, 1,413.10 and 422.21 is: 632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.64 : 1,413.10 = 422.21 : x
  2. Step 2: Convert to fraction form
    942.64/1,413.10 = 422.21/x
  3. Step 3: Cross multiply
    942.64x = 1,413.10 × 422.21
  4. Step 4: Simplify right side
    942.64x = 596,624.95
  5. Step 5: Solve for x
    x = 596,624.95/942.64
  6. Step 6: Final answer
    x = 632.93

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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.