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Finding the Fourth Proportional to 628.70, 866.28 and 418.64

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Solution

The fourth proportional to 628.70, 866.28 and 418.64 is: 576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.70 : 866.28 = 418.64 : x
  2. Step 2: Convert to fraction form
    628.70/866.28 = 418.64/x
  3. Step 3: Cross multiply
    628.70x = 866.28 × 418.64
  4. Step 4: Simplify right side
    628.70x = 362,659.46
  5. Step 5: Solve for x
    x = 362,659.46/628.70
  6. Step 6: Final answer
    x = 576.84

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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.