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Finding the Fourth Proportional to 740.33, 1,109.53 and 329.45

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Solution

The fourth proportional to 740.33, 1,109.53 and 329.45 is: 493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.33 : 1,109.53 = 329.45 : x
  2. Step 2: Convert to fraction form
    740.33/1,109.53 = 329.45/x
  3. Step 3: Cross multiply
    740.33x = 1,109.53 × 329.45
  4. Step 4: Simplify right side
    740.33x = 365,528.29
  5. Step 5: Solve for x
    x = 365,528.29/740.33
  6. Step 6: Final answer
    x = 493.74

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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.