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Finding the Fourth Proportional to 857.94, 1,286.99 and 467.78

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Solution

The fourth proportional to 857.94, 1,286.99 and 467.78 is: 701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.94 : 1,286.99 = 467.78 : x
  2. Step 2: Convert to fraction form
    857.94/1,286.99 = 467.78/x
  3. Step 3: Cross multiply
    857.94x = 1,286.99 × 467.78
  4. Step 4: Simplify right side
    857.94x = 602,021.16
  5. Step 5: Solve for x
    x = 602,021.16/857.94
  6. Step 6: Final answer
    x = 701.70

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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.