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Finding the Fourth Proportional to 857.24, 1,285.13 and 685.88

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Solution

The fourth proportional to 857.24, 1,285.13 and 685.88 is: 1,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.24 : 1,285.13 = 685.88 : x
  2. Step 2: Convert to fraction form
    857.24/1,285.13 = 685.88/x
  3. Step 3: Cross multiply
    857.24x = 1,285.13 × 685.88
  4. Step 4: Simplify right side
    857.24x = 881,440.25
  5. Step 5: Solve for x
    x = 881,440.25/857.24
  6. Step 6: Final answer
    x = 1,028.24

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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.