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Finding the Fourth Proportional to 542.05, 813.07 and 538.81

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Solution

The fourth proportional to 542.05, 813.07 and 538.81 is: 808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.05 : 813.07 = 538.81 : x
  2. Step 2: Convert to fraction form
    542.05/813.07 = 538.81/x
  3. Step 3: Cross multiply
    542.05x = 813.07 × 538.81
  4. Step 4: Simplify right side
    542.05x = 438,090.25
  5. Step 5: Solve for x
    x = 438,090.25/542.05
  6. Step 6: Final answer
    x = 808.21

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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.