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Finding the Fourth Proportional to 1,105.90, 1,658.86 and 412.39

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Solution

The fourth proportional to 1,105.90, 1,658.86 and 412.39 is: 618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.90 : 1,658.86 = 412.39 : x
  2. Step 2: Convert to fraction form
    1,105.90/1,658.86 = 412.39/x
  3. Step 3: Cross multiply
    1,105.90x = 1,658.86 × 412.39
  4. Step 4: Simplify right side
    1,105.90x = 684,097.28
  5. Step 5: Solve for x
    x = 684,097.28/1,105.90
  6. Step 6: Final answer
    x = 618.59

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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.