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Finding the Fourth Proportional to 1,169.90, 1,614.36 and 645.98

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Solution

The fourth proportional to 1,169.90, 1,614.36 and 645.98 is: 891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.90 : 1,614.36 = 645.98 : x
  2. Step 2: Convert to fraction form
    1,169.90/1,614.36 = 645.98/x
  3. Step 3: Cross multiply
    1,169.90x = 1,614.36 × 645.98
  4. Step 4: Simplify right side
    1,169.90x = 1,042,844.27
  5. Step 5: Solve for x
    x = 1,042,844.27/1,169.90
  6. Step 6: Final answer
    x = 891.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.