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Finding the Fourth Proportional to 1,310.14, 1,964.04 and 487.84

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Solution

The fourth proportional to 1,310.14, 1,964.04 and 487.84 is: 731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.14 : 1,964.04 = 487.84 : x
  2. Step 2: Convert to fraction form
    1,310.14/1,964.04 = 487.84/x
  3. Step 3: Cross multiply
    1,310.14x = 1,964.04 × 487.84
  4. Step 4: Simplify right side
    1,310.14x = 958,137.27
  5. Step 5: Solve for x
    x = 958,137.27/1,310.14
  6. Step 6: Final answer
    x = 731.32

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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.