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Finding the Fourth Proportional to 942.85, 1,413.74 and 693.77

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Solution

The fourth proportional to 942.85, 1,413.74 and 693.77 is: 1,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.85 : 1,413.74 = 693.77 : x
  2. Step 2: Convert to fraction form
    942.85/1,413.74 = 693.77/x
  3. Step 3: Cross multiply
    942.85x = 1,413.74 × 693.77
  4. Step 4: Simplify right side
    942.85x = 980,809.12
  5. Step 5: Solve for x
    x = 980,809.12/942.85
  6. Step 6: Final answer
    x = 1,040.26

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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.