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Finding the Fourth Proportional to 857.25, 1,285.29 and 467.85

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Solution

The fourth proportional to 857.25, 1,285.29 and 467.85 is: 701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.25 : 1,285.29 = 467.85 : x
  2. Step 2: Convert to fraction form
    857.25/1,285.29 = 467.85/x
  3. Step 3: Cross multiply
    857.25x = 1,285.29 × 467.85
  4. Step 4: Simplify right side
    857.25x = 601,322.93
  5. Step 5: Solve for x
    x = 601,322.93/857.25
  6. Step 6: Final answer
    x = 701.46

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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.