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Finding the Fourth Proportional to 538.45, 803.51 and 480.20

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Solution

The fourth proportional to 538.45, 803.51 and 480.20 is: 716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.45 : 803.51 = 480.20 : x
  2. Step 2: Convert to fraction form
    538.45/803.51 = 480.20/x
  3. Step 3: Cross multiply
    538.45x = 803.51 × 480.20
  4. Step 4: Simplify right side
    538.45x = 385,843.10
  5. Step 5: Solve for x
    x = 385,843.10/538.45
  6. Step 6: Final answer
    x = 716.59

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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.