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Finding the Fourth Proportional to 684.18, 944.24 and 463.59

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Solution

The fourth proportional to 684.18, 944.24 and 463.59 is: 639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.18 : 944.24 = 463.59 : x
  2. Step 2: Convert to fraction form
    684.18/944.24 = 463.59/x
  3. Step 3: Cross multiply
    684.18x = 944.24 × 463.59
  4. Step 4: Simplify right side
    684.18x = 437,737.90
  5. Step 5: Solve for x
    x = 437,737.90/684.18
  6. Step 6: Final answer
    x = 639.80

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