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Finding the Fourth Proportional to 685.18, 1,025.94 and 359.86

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Solution

The fourth proportional to 685.18, 1,025.94 and 359.86 is: 538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.18 : 1,025.94 = 359.86 : x
  2. Step 2: Convert to fraction form
    685.18/1,025.94 = 359.86/x
  3. Step 3: Cross multiply
    685.18x = 1,025.94 × 359.86
  4. Step 4: Simplify right side
    685.18x = 369,194.77
  5. Step 5: Solve for x
    x = 369,194.77/685.18
  6. Step 6: Final answer
    x = 538.83

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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.