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Finding the Fourth Proportional to 1,306.04, 1,957.36 and 996.76

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Solution

The fourth proportional to 1,306.04, 1,957.36 and 996.76 is: 1,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.04 : 1,957.36 = 996.76 : x
  2. Step 2: Convert to fraction form
    1,306.04/1,957.36 = 996.76/x
  3. Step 3: Cross multiply
    1,306.04x = 1,957.36 × 996.76
  4. Step 4: Simplify right side
    1,306.04x = 1,951,018.15
  5. Step 5: Solve for x
    x = 1,951,018.15/1,306.04
  6. Step 6: Final answer
    x = 1,493.84

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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.