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Finding the Fourth Proportional to 933.01, 1,399.33 and 470.67

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Solution

The fourth proportional to 933.01, 1,399.33 and 470.67 is: 705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.01 : 1,399.33 = 470.67 : x
  2. Step 2: Convert to fraction form
    933.01/1,399.33 = 470.67/x
  3. Step 3: Cross multiply
    933.01x = 1,399.33 × 470.67
  4. Step 4: Simplify right side
    933.01x = 658,622.65
  5. Step 5: Solve for x
    x = 658,622.65/933.01
  6. Step 6: Final answer
    x = 705.91

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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.