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Finding the Fourth Proportional to 542.30, 814.53 and 444.97

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Solution

The fourth proportional to 542.30, 814.53 and 444.97 is: 668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.30 : 814.53 = 444.97 : x
  2. Step 2: Convert to fraction form
    542.30/814.53 = 444.97/x
  3. Step 3: Cross multiply
    542.30x = 814.53 × 444.97
  4. Step 4: Simplify right side
    542.30x = 362,441.41
  5. Step 5: Solve for x
    x = 362,441.41/542.30
  6. Step 6: Final answer
    x = 668.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.