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Finding the Fourth Proportional to 933.95, 1,400.57 and 275.65

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Solution

The fourth proportional to 933.95, 1,400.57 and 275.65 is: 413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.95 : 1,400.57 = 275.65 : x
  2. Step 2: Convert to fraction form
    933.95/1,400.57 = 275.65/x
  3. Step 3: Cross multiply
    933.95x = 1,400.57 × 275.65
  4. Step 4: Simplify right side
    933.95x = 386,067.12
  5. Step 5: Solve for x
    x = 386,067.12/933.95
  6. Step 6: Final answer
    x = 413.37

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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.