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Finding the Fourth Proportional to 628.43, 867.26 and 362.77

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Solution

The fourth proportional to 628.43, 867.26 and 362.77 is: 500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.43 : 867.26 = 362.77 : x
  2. Step 2: Convert to fraction form
    628.43/867.26 = 362.77/x
  3. Step 3: Cross multiply
    628.43x = 867.26 × 362.77
  4. Step 4: Simplify right side
    628.43x = 314,615.91
  5. Step 5: Solve for x
    x = 314,615.91/628.43
  6. Step 6: Final answer
    x = 500.64

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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.