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Finding the Fourth Proportional to 538.23, 803.01 and 486.33

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Solution

The fourth proportional to 538.23, 803.01 and 486.33 is: 725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.23 : 803.01 = 486.33 : x
  2. Step 2: Convert to fraction form
    538.23/803.01 = 486.33/x
  3. Step 3: Cross multiply
    538.23x = 803.01 × 486.33
  4. Step 4: Simplify right side
    538.23x = 390,527.85
  5. Step 5: Solve for x
    x = 390,527.85/538.23
  6. Step 6: Final answer
    x = 725.58

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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.