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Finding the Fourth Proportional to 1,105.69, 1,658.54 and 336.19

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Solution

The fourth proportional to 1,105.69, 1,658.54 and 336.19 is: 504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.69 : 1,658.54 = 336.19 : x
  2. Step 2: Convert to fraction form
    1,105.69/1,658.54 = 336.19/x
  3. Step 3: Cross multiply
    1,105.69x = 1,658.54 × 336.19
  4. Step 4: Simplify right side
    1,105.69x = 557,578.74
  5. Step 5: Solve for x
    x = 557,578.74/1,105.69
  6. Step 6: Final answer
    x = 504.28

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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.