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Finding the Fourth Proportional to 628.53, 941.06 and 473.99

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Solution

The fourth proportional to 628.53, 941.06 and 473.99 is: 709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.53 : 941.06 = 473.99 : x
  2. Step 2: Convert to fraction form
    628.53/941.06 = 473.99/x
  3. Step 3: Cross multiply
    628.53x = 941.06 × 473.99
  4. Step 4: Simplify right side
    628.53x = 446,053.01
  5. Step 5: Solve for x
    x = 446,053.01/628.53
  6. Step 6: Final answer
    x = 709.68

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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.