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Finding the Fourth Proportional to 1,306.76, 1,958.36 and 720.88

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Solution

The fourth proportional to 1,306.76, 1,958.36 and 720.88 is: 1,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.76 : 1,958.36 = 720.88 : x
  2. Step 2: Convert to fraction form
    1,306.76/1,958.36 = 720.88/x
  3. Step 3: Cross multiply
    1,306.76x = 1,958.36 × 720.88
  4. Step 4: Simplify right side
    1,306.76x = 1,411,742.56
  5. Step 5: Solve for x
    x = 1,411,742.56/1,306.76
  6. Step 6: Final answer
    x = 1,080.34

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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.