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Finding the Fourth Proportional to 684.50, 944.80 and 463.41

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Solution

The fourth proportional to 684.50, 944.80 and 463.41 is: 639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.50 : 944.80 = 463.41 : x
  2. Step 2: Convert to fraction form
    684.50/944.80 = 463.41/x
  3. Step 3: Cross multiply
    684.50x = 944.80 × 463.41
  4. Step 4: Simplify right side
    684.50x = 437,828.61
  5. Step 5: Solve for x
    x = 437,828.61/684.50
  6. Step 6: Final answer
    x = 639.64

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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.