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Finding the Fourth Proportional to 684.60, 1,025.82 and 606.84

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Solution

The fourth proportional to 684.60, 1,025.82 and 606.84 is: 909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.60 : 1,025.82 = 606.84 : x
  2. Step 2: Convert to fraction form
    684.60/1,025.82 = 606.84/x
  3. Step 3: Cross multiply
    684.60x = 1,025.82 × 606.84
  4. Step 4: Simplify right side
    684.60x = 622,508.61
  5. Step 5: Solve for x
    x = 622,508.61/684.60
  6. Step 6: Final answer
    x = 909.30

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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.