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Finding the Fourth Proportional to 628.66, 941.22 and 474.10

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Solution

The fourth proportional to 628.66, 941.22 and 474.10 is: 709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.66 : 941.22 = 474.10 : x
  2. Step 2: Convert to fraction form
    628.66/941.22 = 474.10/x
  3. Step 3: Cross multiply
    628.66x = 941.22 × 474.10
  4. Step 4: Simplify right side
    628.66x = 446,230.05
  5. Step 5: Solve for x
    x = 446,230.05/628.66
  6. Step 6: Final answer
    x = 709.81

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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.