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Finding the Fourth Proportional to 1,026.82, 1,417.12 and 764.38

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Solution

The fourth proportional to 1,026.82, 1,417.12 and 764.38 is: 1,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.82 : 1,417.12 = 764.38 : x
  2. Step 2: Convert to fraction form
    1,026.82/1,417.12 = 764.38/x
  3. Step 3: Cross multiply
    1,026.82x = 1,417.12 × 764.38
  4. Step 4: Simplify right side
    1,026.82x = 1,083,212.73
  5. Step 5: Solve for x
    x = 1,083,212.73/1,026.82
  6. Step 6: Final answer
    x = 1,054.92

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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.