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Finding the Fourth Proportional to 933.99, 1,399.77 and 414.14

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Solution

The fourth proportional to 933.99, 1,399.77 and 414.14 is: 620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.99 : 1,399.77 = 414.14 : x
  2. Step 2: Convert to fraction form
    933.99/1,399.77 = 414.14/x
  3. Step 3: Cross multiply
    933.99x = 1,399.77 × 414.14
  4. Step 4: Simplify right side
    933.99x = 579,705.28
  5. Step 5: Solve for x
    x = 579,705.28/933.99
  6. Step 6: Final answer
    x = 620.67

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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.