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Finding the Fourth Proportional to 933.64, 1,399.90 and 857.48

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Solution

The fourth proportional to 933.64, 1,399.90 and 857.48 is: 1,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.64 : 1,399.90 = 857.48 : x
  2. Step 2: Convert to fraction form
    933.64/1,399.90 = 857.48/x
  3. Step 3: Cross multiply
    933.64x = 1,399.90 × 857.48
  4. Step 4: Simplify right side
    933.64x = 1,200,386.25
  5. Step 5: Solve for x
    x = 1,200,386.25/933.64
  6. Step 6: Final answer
    x = 1,285.71

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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.