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Finding the Fourth Proportional to 684.84, 1,025.90 and 628.84

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Solution

The fourth proportional to 684.84, 1,025.90 and 628.84 is: 942.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.84 : 1,025.90 = 628.84 : x
  2. Step 2: Convert to fraction form
    684.84/1,025.90 = 628.84/x
  3. Step 3: Cross multiply
    684.84x = 1,025.90 × 628.84
  4. Step 4: Simplify right side
    684.84x = 645,126.96
  5. Step 5: Solve for x
    x = 645,126.96/684.84
  6. Step 6: Final answer
    x = 942.01

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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.