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Finding the Fourth Proportional to 1,026.29, 1,539.43 and 256.79

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Solution

The fourth proportional to 1,026.29, 1,539.43 and 256.79 is: 385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.29 : 1,539.43 = 256.79 : x
  2. Step 2: Convert to fraction form
    1,026.29/1,539.43 = 256.79/x
  3. Step 3: Cross multiply
    1,026.29x = 1,539.43 × 256.79
  4. Step 4: Simplify right side
    1,026.29x = 395,313.44
  5. Step 5: Solve for x
    x = 395,313.44/1,026.29
  6. Step 6: Final answer
    x = 385.19

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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.