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Finding the Fourth Proportional to 680.69, 1,022.56 and 420.89

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Solution

The fourth proportional to 680.69, 1,022.56 and 420.89 is: 632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.69 : 1,022.56 = 420.89 : x
  2. Step 2: Convert to fraction form
    680.69/1,022.56 = 420.89/x
  3. Step 3: Cross multiply
    680.69x = 1,022.56 × 420.89
  4. Step 4: Simplify right side
    680.69x = 430,379.11
  5. Step 5: Solve for x
    x = 430,379.11/680.69
  6. Step 6: Final answer
    x = 632.27

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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.