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Finding the Fourth Proportional to 542.18, 810.34 and 485.12

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Solution

The fourth proportional to 542.18, 810.34 and 485.12 is: 725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.18 : 810.34 = 485.12 : x
  2. Step 2: Convert to fraction form
    542.18/810.34 = 485.12/x
  3. Step 3: Cross multiply
    542.18x = 810.34 × 485.12
  4. Step 4: Simplify right side
    542.18x = 393,112.14
  5. Step 5: Solve for x
    x = 393,112.14/542.18
  6. Step 6: Final answer
    x = 725.06

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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.