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Finding the Fourth Proportional to 477.98, 659.69 and 312.44

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Solution

The fourth proportional to 477.98, 659.69 and 312.44 is: 431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.98 : 659.69 = 312.44 : x
  2. Step 2: Convert to fraction form
    477.98/659.69 = 312.44/x
  3. Step 3: Cross multiply
    477.98x = 659.69 × 312.44
  4. Step 4: Simplify right side
    477.98x = 206,113.54
  5. Step 5: Solve for x
    x = 206,113.54/477.98
  6. Step 6: Final answer
    x = 431.22

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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.