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Finding the Fourth Proportional to 415.59, 620.76 and 312.33

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Solution

The fourth proportional to 415.59, 620.76 and 312.33 is: 466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.59 : 620.76 = 312.33 : x
  2. Step 2: Convert to fraction form
    415.59/620.76 = 312.33/x
  3. Step 3: Cross multiply
    415.59x = 620.76 × 312.33
  4. Step 4: Simplify right side
    415.59x = 193,881.97
  5. Step 5: Solve for x
    x = 193,881.97/415.59
  6. Step 6: Final answer
    x = 466.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.