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Finding the Fourth Proportional to 628.07, 866.81 and 478.88

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Solution

The fourth proportional to 628.07, 866.81 and 478.88 is: 660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.07 : 866.81 = 478.88 : x
  2. Step 2: Convert to fraction form
    628.07/866.81 = 478.88/x
  3. Step 3: Cross multiply
    628.07x = 866.81 × 478.88
  4. Step 4: Simplify right side
    628.07x = 415,091.24
  5. Step 5: Solve for x
    x = 415,091.24/628.07
  6. Step 6: Final answer
    x = 660.90

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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.