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Finding the Fourth Proportional to 776.81, 1,072.42 and 637.29

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Solution

The fourth proportional to 776.81, 1,072.42 and 637.29 is: 879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.81 : 1,072.42 = 637.29 : x
  2. Step 2: Convert to fraction form
    776.81/1,072.42 = 637.29/x
  3. Step 3: Cross multiply
    776.81x = 1,072.42 × 637.29
  4. Step 4: Simplify right side
    776.81x = 683,440.95
  5. Step 5: Solve for x
    x = 683,440.95/776.81
  6. Step 6: Final answer
    x = 879.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.