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Finding the Fourth Proportional to 538.38, 803.43 and 535.30

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Solution

The fourth proportional to 538.38, 803.43 and 535.30 is: 798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.38 : 803.43 = 535.30 : x
  2. Step 2: Convert to fraction form
    538.38/803.43 = 535.30/x
  3. Step 3: Cross multiply
    538.38x = 803.43 × 535.30
  4. Step 4: Simplify right side
    538.38x = 430,076.08
  5. Step 5: Solve for x
    x = 430,076.08/538.38
  6. Step 6: Final answer
    x = 798.83

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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.