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Finding the Fourth Proportional to 542.15, 811.41 and 451.03

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Solution

The fourth proportional to 542.15, 811.41 and 451.03 is: 675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.15 : 811.41 = 451.03 : x
  2. Step 2: Convert to fraction form
    542.15/811.41 = 451.03/x
  3. Step 3: Cross multiply
    542.15x = 811.41 × 451.03
  4. Step 4: Simplify right side
    542.15x = 365,968.00
  5. Step 5: Solve for x
    x = 365,968.00/542.15
  6. Step 6: Final answer
    x = 675.03

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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.