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Finding the Fourth Proportional to 685.91, 1,028.75 and 192.35

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Solution

The fourth proportional to 685.91, 1,028.75 and 192.35 is: 288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.91 : 1,028.75 = 192.35 : x
  2. Step 2: Convert to fraction form
    685.91/1,028.75 = 192.35/x
  3. Step 3: Cross multiply
    685.91x = 1,028.75 × 192.35
  4. Step 4: Simplify right side
    685.91x = 197,873.96
  5. Step 5: Solve for x
    x = 197,873.96/685.91
  6. Step 6: Final answer
    x = 288.49

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1.5x scale

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.