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Finding the Fourth Proportional to 1,026.31, 1,536.31 and 829.48

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Solution

The fourth proportional to 1,026.31, 1,536.31 and 829.48 is: 1,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.31 : 1,536.31 = 829.48 : x
  2. Step 2: Convert to fraction form
    1,026.31/1,536.31 = 829.48/x
  3. Step 3: Cross multiply
    1,026.31x = 1,536.31 × 829.48
  4. Step 4: Simplify right side
    1,026.31x = 1,274,338.42
  5. Step 5: Solve for x
    x = 1,274,338.42/1,026.31
  6. Step 6: Final answer
    x = 1,241.67

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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.