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Finding the Fourth Proportional to 1,089.86, 1,634.82 and 320.36

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Solution

The fourth proportional to 1,089.86, 1,634.82 and 320.36 is: 480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.86 : 1,634.82 = 320.36 : x
  2. Step 2: Convert to fraction form
    1,089.86/1,634.82 = 320.36/x
  3. Step 3: Cross multiply
    1,089.86x = 1,634.82 × 320.36
  4. Step 4: Simplify right side
    1,089.86x = 523,730.94
  5. Step 5: Solve for x
    x = 523,730.94/1,089.86
  6. Step 6: Final answer
    x = 480.55

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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.