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Finding the Fourth Proportional to 1,109.70, 1,665.36 and 379.89

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Solution

The fourth proportional to 1,109.70, 1,665.36 and 379.89 is: 570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.70 : 1,665.36 = 379.89 : x
  2. Step 2: Convert to fraction form
    1,109.70/1,665.36 = 379.89/x
  3. Step 3: Cross multiply
    1,109.70x = 1,665.36 × 379.89
  4. Step 4: Simplify right side
    1,109.70x = 632,653.61
  5. Step 5: Solve for x
    x = 632,653.61/1,109.70
  6. Step 6: Final answer
    x = 570.11

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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.