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Finding the Fourth Proportional to 933.80, 1,401.05 and 563.61

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Solution

The fourth proportional to 933.80, 1,401.05 and 563.61 is: 845.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.80 : 1,401.05 = 563.61 : x
  2. Step 2: Convert to fraction form
    933.80/1,401.05 = 563.61/x
  3. Step 3: Cross multiply
    933.80x = 1,401.05 × 563.61
  4. Step 4: Simplify right side
    933.80x = 789,641.40
  5. Step 5: Solve for x
    x = 789,641.40/933.80
  6. Step 6: Final answer
    x = 845.62

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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.