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Finding the Fourth Proportional to 941.93, 1,413.30 and 617.93

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Solution

The fourth proportional to 941.93, 1,413.30 and 617.93 is: 927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.93 : 1,413.30 = 617.93 : x
  2. Step 2: Convert to fraction form
    941.93/1,413.30 = 617.93/x
  3. Step 3: Cross multiply
    941.93x = 1,413.30 × 617.93
  4. Step 4: Simplify right side
    941.93x = 873,320.47
  5. Step 5: Solve for x
    x = 873,320.47/941.93
  6. Step 6: Final answer
    x = 927.16

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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.