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Finding the Fourth Proportional to 1,026.47, 1,539.71 and 256.97

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Solution

The fourth proportional to 1,026.47, 1,539.71 and 256.97 is: 385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.47 : 1,539.71 = 256.97 : x
  2. Step 2: Convert to fraction form
    1,026.47/1,539.71 = 256.97/x
  3. Step 3: Cross multiply
    1,026.47x = 1,539.71 × 256.97
  4. Step 4: Simplify right side
    1,026.47x = 395,659.28
  5. Step 5: Solve for x
    x = 395,659.28/1,026.47
  6. Step 6: Final answer
    x = 385.46

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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.