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Finding the Fourth Proportional to 684.62, 943.64 and 463.49

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Solution

The fourth proportional to 684.62, 943.64 and 463.49 is: 638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.62 : 943.64 = 463.49 : x
  2. Step 2: Convert to fraction form
    684.62/943.64 = 463.49/x
  3. Step 3: Cross multiply
    684.62x = 943.64 × 463.49
  4. Step 4: Simplify right side
    684.62x = 437,362.99
  5. Step 5: Solve for x
    x = 437,362.99/684.62
  6. Step 6: Final answer
    x = 638.85

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Half scale
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Double scale
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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.