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Finding the Fourth Proportional to 538.50, 803.42 and 480.03

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Solution

The fourth proportional to 538.50, 803.42 and 480.03 is: 716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.50 : 803.42 = 480.03 : x
  2. Step 2: Convert to fraction form
    538.50/803.42 = 480.03/x
  3. Step 3: Cross multiply
    538.50x = 803.42 × 480.03
  4. Step 4: Simplify right side
    538.50x = 385,665.70
  5. Step 5: Solve for x
    x = 385,665.70/538.50
  6. Step 6: Final answer
    x = 716.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.