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Finding the Fourth Proportional to 846.19, 1,269.42 and 413.38

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Solution

The fourth proportional to 846.19, 1,269.42 and 413.38 is: 620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.19 : 1,269.42 = 413.38 : x
  2. Step 2: Convert to fraction form
    846.19/1,269.42 = 413.38/x
  3. Step 3: Cross multiply
    846.19x = 1,269.42 × 413.38
  4. Step 4: Simplify right side
    846.19x = 524,752.84
  5. Step 5: Solve for x
    x = 524,752.84/846.19
  6. Step 6: Final answer
    x = 620.14

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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.