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Finding the Fourth Proportional to 933.85, 1,401.02 and 275.75

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Solution

The fourth proportional to 933.85, 1,401.02 and 275.75 is: 413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.85 : 1,401.02 = 275.75 : x
  2. Step 2: Convert to fraction form
    933.85/1,401.02 = 275.75/x
  3. Step 3: Cross multiply
    933.85x = 1,401.02 × 275.75
  4. Step 4: Simplify right side
    933.85x = 386,331.27
  5. Step 5: Solve for x
    x = 386,331.27/933.85
  6. Step 6: Final answer
    x = 413.70

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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.