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Finding the Fourth Proportional to 942.05, 1,413.07 and 511.94

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Solution

The fourth proportional to 942.05, 1,413.07 and 511.94 is: 767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.05 : 1,413.07 = 511.94 : x
  2. Step 2: Convert to fraction form
    942.05/1,413.07 = 511.94/x
  3. Step 3: Cross multiply
    942.05x = 1,413.07 × 511.94
  4. Step 4: Simplify right side
    942.05x = 723,411.87
  5. Step 5: Solve for x
    x = 723,411.87/942.05
  6. Step 6: Final answer
    x = 767.91

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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.