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Finding the Fourth Proportional to 1,109.19, 1,663.80 and 378.75

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Solution

The fourth proportional to 1,109.19, 1,663.80 and 378.75 is: 568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.19 : 1,663.80 = 378.75 : x
  2. Step 2: Convert to fraction form
    1,109.19/1,663.80 = 378.75/x
  3. Step 3: Cross multiply
    1,109.19x = 1,663.80 × 378.75
  4. Step 4: Simplify right side
    1,109.19x = 630,164.25
  5. Step 5: Solve for x
    x = 630,164.25/1,109.19
  6. Step 6: Final answer
    x = 568.13

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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.