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Finding the Fourth Proportional to 620.56, 930.90 and 475.84

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Solution

The fourth proportional to 620.56, 930.90 and 475.84 is: 713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.56 : 930.90 = 475.84 : x
  2. Step 2: Convert to fraction form
    620.56/930.90 = 475.84/x
  3. Step 3: Cross multiply
    620.56x = 930.90 × 475.84
  4. Step 4: Simplify right side
    620.56x = 442,959.46
  5. Step 5: Solve for x
    x = 442,959.46/620.56
  6. Step 6: Final answer
    x = 713.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.