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Finding the Fourth Proportional to 679.78, 1,014.13 and 660.95

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Solution

The fourth proportional to 679.78, 1,014.13 and 660.95 is: 986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.78 : 1,014.13 = 660.95 : x
  2. Step 2: Convert to fraction form
    679.78/1,014.13 = 660.95/x
  3. Step 3: Cross multiply
    679.78x = 1,014.13 × 660.95
  4. Step 4: Simplify right side
    679.78x = 670,289.22
  5. Step 5: Solve for x
    x = 670,289.22/679.78
  6. Step 6: Final answer
    x = 986.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.