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Finding the Fourth Proportional to 470.39, 644.92 and 463.22

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Solution

The fourth proportional to 470.39, 644.92 and 463.22 is: 635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.39 : 644.92 = 463.22 : x
  2. Step 2: Convert to fraction form
    470.39/644.92 = 463.22/x
  3. Step 3: Cross multiply
    470.39x = 644.92 × 463.22
  4. Step 4: Simplify right side
    470.39x = 298,737.53
  5. Step 5: Solve for x
    x = 298,737.53/470.39
  6. Step 6: Final answer
    x = 635.08

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.