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Finding the Fourth Proportional to 680.78, 1,020.76 and 488

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Solution

The fourth proportional to 680.78, 1,020.76 and 488 is: 731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.78 : 1,020.76 = 488 : x
  2. Step 2: Convert to fraction form
    680.78/1,020.76 = 488/x
  3. Step 3: Cross multiply
    680.78x = 1,020.76 × 488
  4. Step 4: Simplify right side
    680.78x = 498,130.88
  5. Step 5: Solve for x
    x = 498,130.88/680.78
  6. Step 6: Final answer
    x = 731.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.