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Finding the Fourth Proportional to 561.33, 769.03 and 540.30

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Solution

The fourth proportional to 561.33, 769.03 and 540.30 is: 740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.33 : 769.03 = 540.30 : x
  2. Step 2: Convert to fraction form
    561.33/769.03 = 540.30/x
  3. Step 3: Cross multiply
    561.33x = 769.03 × 540.30
  4. Step 4: Simplify right side
    561.33x = 415,505.09
  5. Step 5: Solve for x
    x = 415,505.09/561.33
  6. Step 6: Final answer
    x = 740.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.