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Finding the Fourth Proportional to 933.96, 1,399.86 and 847.56

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Solution

The fourth proportional to 933.96, 1,399.86 and 847.56 is: 1,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.96 : 1,399.86 = 847.56 : x
  2. Step 2: Convert to fraction form
    933.96/1,399.86 = 847.56/x
  3. Step 3: Cross multiply
    933.96x = 1,399.86 × 847.56
  4. Step 4: Simplify right side
    933.96x = 1,186,465.34
  5. Step 5: Solve for x
    x = 1,186,465.34/933.96
  6. Step 6: Final answer
    x = 1,270.36

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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.