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Finding the Fourth Proportional to 684.68, 944.14 and 629.20

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Solution

The fourth proportional to 684.68, 944.14 and 629.20 is: 867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.68 : 944.14 = 629.20 : x
  2. Step 2: Convert to fraction form
    684.68/944.14 = 629.20/x
  3. Step 3: Cross multiply
    684.68x = 944.14 × 629.20
  4. Step 4: Simplify right side
    684.68x = 594,045.02
  5. Step 5: Solve for x
    x = 594,045.02/684.68
  6. Step 6: Final answer
    x = 867.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.