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Finding the Fourth Proportional to 926.09, 1,386.68 and 764.49

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Solution

The fourth proportional to 926.09, 1,386.68 and 764.49 is: 1,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.09 : 1,386.68 = 764.49 : x
  2. Step 2: Convert to fraction form
    926.09/1,386.68 = 764.49/x
  3. Step 3: Cross multiply
    926.09x = 1,386.68 × 764.49
  4. Step 4: Simplify right side
    926.09x = 1,060,099.17
  5. Step 5: Solve for x
    x = 1,060,099.17/926.09
  6. Step 6: Final answer
    x = 1,144.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.