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Finding the Fourth Proportional to 764.51, 1,049.39 and 679.76

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Solution

The fourth proportional to 764.51, 1,049.39 and 679.76 is: 933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.51 : 1,049.39 = 679.76 : x
  2. Step 2: Convert to fraction form
    764.51/1,049.39 = 679.76/x
  3. Step 3: Cross multiply
    764.51x = 1,049.39 × 679.76
  4. Step 4: Simplify right side
    764.51x = 713,331.18
  5. Step 5: Solve for x
    x = 713,331.18/764.51
  6. Step 6: Final answer
    x = 933.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.