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Finding the Fourth Proportional to 684.90, 944.37 and 464.00

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Solution

The fourth proportional to 684.90, 944.37 and 464.00 is: 639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.90 : 944.37 = 464.00 : x
  2. Step 2: Convert to fraction form
    684.90/944.37 = 464.00/x
  3. Step 3: Cross multiply
    684.90x = 944.37 × 464.00
  4. Step 4: Simplify right side
    684.90x = 438,182.96
  5. Step 5: Solve for x
    x = 438,182.96/684.90
  6. Step 6: Final answer
    x = 639.78

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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.