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Finding the Fourth Proportional to 764.09, 1,139.55 and 690.27

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Solution

The fourth proportional to 764.09, 1,139.55 and 690.27 is: 1,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.09 : 1,139.55 = 690.27 : x
  2. Step 2: Convert to fraction form
    764.09/1,139.55 = 690.27/x
  3. Step 3: Cross multiply
    764.09x = 1,139.55 × 690.27
  4. Step 4: Simplify right side
    764.09x = 786,597.18
  5. Step 5: Solve for x
    x = 786,597.18/764.09
  6. Step 6: Final answer
    x = 1,029.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.