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Finding the Fourth Proportional to 680, 1,020 and 193.08

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Solution

The fourth proportional to 680, 1,020 and 193.08 is: 289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    680 : 1,020 = 193.08 : x
  2. Step 2: Convert to fraction form
    680/1,020 = 193.08/x
  3. Step 3: Cross multiply
    680x = 1,020 × 193.08
  4. Step 4: Simplify right side
    680x = 196,941.60
  5. Step 5: Solve for x
    x = 196,941.60/680
  6. Step 6: Final answer
    x = 289.62

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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.