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Finding the Fourth Proportional to 628.36, 867.24 and 362.81

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Solution

The fourth proportional to 628.36, 867.24 and 362.81 is: 500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.36 : 867.24 = 362.81 : x
  2. Step 2: Convert to fraction form
    628.36/867.24 = 362.81/x
  3. Step 3: Cross multiply
    628.36x = 867.24 × 362.81
  4. Step 4: Simplify right side
    628.36x = 314,645.51
  5. Step 5: Solve for x
    x = 314,645.51/628.36
  6. Step 6: Final answer
    x = 500.74

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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.