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Finding the Fourth Proportional to 1,109.89, 1,664.70 and 379.45

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Solution

The fourth proportional to 1,109.89, 1,664.70 and 379.45 is: 569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.89 : 1,664.70 = 379.45 : x
  2. Step 2: Convert to fraction form
    1,109.89/1,664.70 = 379.45/x
  3. Step 3: Cross multiply
    1,109.89x = 1,664.70 × 379.45
  4. Step 4: Simplify right side
    1,109.89x = 631,670.42
  5. Step 5: Solve for x
    x = 631,670.42/1,109.89
  6. Step 6: Final answer
    x = 569.13

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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.