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Finding the Fourth Proportional to 1,109.82, 1,664.65 and 379.91

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Solution

The fourth proportional to 1,109.82, 1,664.65 and 379.91 is: 569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.82 : 1,664.65 = 379.91 : x
  2. Step 2: Convert to fraction form
    1,109.82/1,664.65 = 379.91/x
  3. Step 3: Cross multiply
    1,109.82x = 1,664.65 × 379.91
  4. Step 4: Simplify right side
    1,109.82x = 632,420.39
  5. Step 5: Solve for x
    x = 632,420.39/1,109.82
  6. Step 6: Final answer
    x = 569.84

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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.