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Finding the Fourth Proportional to 685.77, 1,029.09 and 361.37

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Solution

The fourth proportional to 685.77, 1,029.09 and 361.37 is: 542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.77 : 1,029.09 = 361.37 : x
  2. Step 2: Convert to fraction form
    685.77/1,029.09 = 361.37/x
  3. Step 3: Cross multiply
    685.77x = 1,029.09 × 361.37
  4. Step 4: Simplify right side
    685.77x = 371,877.11
  5. Step 5: Solve for x
    x = 371,877.11/685.77
  6. Step 6: Final answer
    x = 542.28

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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.