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Finding the Fourth Proportional to 786.38, 1,173.17 and 764.06

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Solution

The fourth proportional to 786.38, 1,173.17 and 764.06 is: 1,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.38 : 1,173.17 = 764.06 : x
  2. Step 2: Convert to fraction form
    786.38/1,173.17 = 764.06/x
  3. Step 3: Cross multiply
    786.38x = 1,173.17 × 764.06
  4. Step 4: Simplify right side
    786.38x = 896,368.31
  5. Step 5: Solve for x
    x = 896,368.31/786.38
  6. Step 6: Final answer
    x = 1,139.87

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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.