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Finding the Fourth Proportional to 1,304.27, 1,960.05 and 1,070.99

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Solution

The fourth proportional to 1,304.27, 1,960.05 and 1,070.99 is: 1,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.27 : 1,960.05 = 1,070.99 : x
  2. Step 2: Convert to fraction form
    1,304.27/1,960.05 = 1,070.99/x
  3. Step 3: Cross multiply
    1,304.27x = 1,960.05 × 1,070.99
  4. Step 4: Simplify right side
    1,304.27x = 2,099,184.15
  5. Step 5: Solve for x
    x = 2,099,184.15/1,304.27
  6. Step 6: Final answer
    x = 1,609.48

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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.