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Finding the Fourth Proportional to 684.60, 1,025.64 and 360.18

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Solution

The fourth proportional to 684.60, 1,025.64 and 360.18 is: 539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.60 : 1,025.64 = 360.18 : x
  2. Step 2: Convert to fraction form
    684.60/1,025.64 = 360.18/x
  3. Step 3: Cross multiply
    684.60x = 1,025.64 × 360.18
  4. Step 4: Simplify right side
    684.60x = 369,415.02
  5. Step 5: Solve for x
    x = 369,415.02/684.60
  6. Step 6: Final answer
    x = 539.61

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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.