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Finding the Fourth Proportional to 933.02, 1,399.21 and 412.67

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Solution

The fourth proportional to 933.02, 1,399.21 and 412.67 is: 618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.02 : 1,399.21 = 412.67 : x
  2. Step 2: Convert to fraction form
    933.02/1,399.21 = 412.67/x
  3. Step 3: Cross multiply
    933.02x = 1,399.21 × 412.67
  4. Step 4: Simplify right side
    933.02x = 577,414.46
  5. Step 5: Solve for x
    x = 577,414.46/933.02
  6. Step 6: Final answer
    x = 618.87

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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.