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Finding the Fourth Proportional to 684.56, 1,025.88 and 342.80

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Solution

The fourth proportional to 684.56, 1,025.88 and 342.80 is: 513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.56 : 1,025.88 = 342.80 : x
  2. Step 2: Convert to fraction form
    684.56/1,025.88 = 342.80/x
  3. Step 3: Cross multiply
    684.56x = 1,025.88 × 342.80
  4. Step 4: Simplify right side
    684.56x = 351,671.66
  5. Step 5: Solve for x
    x = 351,671.66/684.56
  6. Step 6: Final answer
    x = 513.72

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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.