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Finding the Fourth Proportional to 546.18, 813.09 and 542.94

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Solution

The fourth proportional to 546.18, 813.09 and 542.94 is: 808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.18 : 813.09 = 542.94 : x
  2. Step 2: Convert to fraction form
    546.18/813.09 = 542.94/x
  3. Step 3: Cross multiply
    546.18x = 813.09 × 542.94
  4. Step 4: Simplify right side
    546.18x = 441,455.02
  5. Step 5: Solve for x
    x = 441,455.02/546.18
  6. Step 6: Final answer
    x = 808.26

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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.