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Finding the Fourth Proportional to 685.78, 1,027.71 and 360.49

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Solution

The fourth proportional to 685.78, 1,027.71 and 360.49 is: 540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.78 : 1,027.71 = 360.49 : x
  2. Step 2: Convert to fraction form
    685.78/1,027.71 = 360.49/x
  3. Step 3: Cross multiply
    685.78x = 1,027.71 × 360.49
  4. Step 4: Simplify right side
    685.78x = 370,479.18
  5. Step 5: Solve for x
    x = 370,479.18/685.78
  6. Step 6: Final answer
    x = 540.23

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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.