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Finding the Fourth Proportional to 477.92, 659.43 and 312.38

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Solution

The fourth proportional to 477.92, 659.43 and 312.38 is: 431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.92 : 659.43 = 312.38 : x
  2. Step 2: Convert to fraction form
    477.92/659.43 = 312.38/x
  3. Step 3: Cross multiply
    477.92x = 659.43 × 312.38
  4. Step 4: Simplify right side
    477.92x = 205,991.92
  5. Step 5: Solve for x
    x = 205,991.92/477.92
  6. Step 6: Final answer
    x = 431.02

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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.