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Finding the Fourth Proportional to 684.68, 944.96 and 464.12

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Solution

The fourth proportional to 684.68, 944.96 and 464.12 is: 640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.68 : 944.96 = 464.12 : x
  2. Step 2: Convert to fraction form
    684.68/944.96 = 464.12/x
  3. Step 3: Cross multiply
    684.68x = 944.96 × 464.12
  4. Step 4: Simplify right side
    684.68x = 438,574.84
  5. Step 5: Solve for x
    x = 438,574.84/684.68
  6. Step 6: Final answer
    x = 640.55

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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.