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Finding the Fourth Proportional to 680.49, 1,021.14 and 407.52

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Solution

The fourth proportional to 680.49, 1,021.14 and 407.52 is: 611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.49 : 1,021.14 = 407.52 : x
  2. Step 2: Convert to fraction form
    680.49/1,021.14 = 407.52/x
  3. Step 3: Cross multiply
    680.49x = 1,021.14 × 407.52
  4. Step 4: Simplify right side
    680.49x = 416,134.97
  5. Step 5: Solve for x
    x = 416,134.97/680.49
  6. Step 6: Final answer
    x = 611.52

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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.