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Finding the Fourth Proportional to 628.91, 941.85 and 507.41

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Solution

The fourth proportional to 628.91, 941.85 and 507.41 is: 759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.91 : 941.85 = 507.41 : x
  2. Step 2: Convert to fraction form
    628.91/941.85 = 507.41/x
  3. Step 3: Cross multiply
    628.91x = 941.85 × 507.41
  4. Step 4: Simplify right side
    628.91x = 477,906.46
  5. Step 5: Solve for x
    x = 477,906.46/628.91
  6. Step 6: Final answer
    x = 759.89

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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.