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Finding the Fourth Proportional to 933.09, 1,399.75 and 624.85

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Solution

The fourth proportional to 933.09, 1,399.75 and 624.85 is: 937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.09 : 1,399.75 = 624.85 : x
  2. Step 2: Convert to fraction form
    933.09/1,399.75 = 624.85/x
  3. Step 3: Cross multiply
    933.09x = 1,399.75 × 624.85
  4. Step 4: Simplify right side
    933.09x = 874,628.73
  5. Step 5: Solve for x
    x = 874,628.73/933.09
  6. Step 6: Final answer
    x = 937.35

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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.