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Finding the Fourth Proportional to 628.74, 867.76 and 462.96

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Solution

The fourth proportional to 628.74, 867.76 and 462.96 is: 638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.74 : 867.76 = 462.96 : x
  2. Step 2: Convert to fraction form
    628.74/867.76 = 462.96/x
  3. Step 3: Cross multiply
    628.74x = 867.76 × 462.96
  4. Step 4: Simplify right side
    628.74x = 401,738.17
  5. Step 5: Solve for x
    x = 401,738.17/628.74
  6. Step 6: Final answer
    x = 638.96

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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.