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Finding the Fourth Proportional to 438.82, 660.83 and 317.93

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Solution

The fourth proportional to 438.82, 660.83 and 317.93 is: 478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.82 : 660.83 = 317.93 : x
  2. Step 2: Convert to fraction form
    438.82/660.83 = 317.93/x
  3. Step 3: Cross multiply
    438.82x = 660.83 × 317.93
  4. Step 4: Simplify right side
    438.82x = 210,097.68
  5. Step 5: Solve for x
    x = 210,097.68/438.82
  6. Step 6: Final answer
    x = 478.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.