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Finding the Fourth Proportional to 542.72, 808.14 and 534.96

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Solution

The fourth proportional to 542.72, 808.14 and 534.96 is: 796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.72 : 808.14 = 534.96 : x
  2. Step 2: Convert to fraction form
    542.72/808.14 = 534.96/x
  3. Step 3: Cross multiply
    542.72x = 808.14 × 534.96
  4. Step 4: Simplify right side
    542.72x = 432,322.57
  5. Step 5: Solve for x
    x = 432,322.57/542.72
  6. Step 6: Final answer
    x = 796.58

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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.