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Finding the Fourth Proportional to 684.38, 944.80 and 463.52

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Solution

The fourth proportional to 684.38, 944.80 and 463.52 is: 639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.38 : 944.80 = 463.52 : x
  2. Step 2: Convert to fraction form
    684.38/944.80 = 463.52/x
  3. Step 3: Cross multiply
    684.38x = 944.80 × 463.52
  4. Step 4: Simplify right side
    684.38x = 437,933.70
  5. Step 5: Solve for x
    x = 437,933.70/684.38
  6. Step 6: Final answer
    x = 639.90

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1.5x scale

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.