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Finding the Fourth Proportional to 675.06, 930.06 and 441.78

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Solution

The fourth proportional to 675.06, 930.06 and 441.78 is: 608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.06 : 930.06 = 441.78 : x
  2. Step 2: Convert to fraction form
    675.06/930.06 = 441.78/x
  3. Step 3: Cross multiply
    675.06x = 930.06 × 441.78
  4. Step 4: Simplify right side
    675.06x = 410,881.91
  5. Step 5: Solve for x
    x = 410,881.91/675.06
  6. Step 6: Final answer
    x = 608.66

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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.