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Finding the Fourth Proportional to 764.06, 1,051.68 and 638.34

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Solution

The fourth proportional to 764.06, 1,051.68 and 638.34 is: 878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.06 : 1,051.68 = 638.34 : x
  2. Step 2: Convert to fraction form
    764.06/1,051.68 = 638.34/x
  3. Step 3: Cross multiply
    764.06x = 1,051.68 × 638.34
  4. Step 4: Simplify right side
    764.06x = 671,329.41
  5. Step 5: Solve for x
    x = 671,329.41/764.06
  6. Step 6: Final answer
    x = 878.63

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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.