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Finding the Fourth Proportional to 546.90, 815.99 and 534.43

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Solution

The fourth proportional to 546.90, 815.99 and 534.43 is: 797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.90 : 815.99 = 534.43 : x
  2. Step 2: Convert to fraction form
    546.90/815.99 = 534.43/x
  3. Step 3: Cross multiply
    546.90x = 815.99 × 534.43
  4. Step 4: Simplify right side
    546.90x = 436,089.54
  5. Step 5: Solve for x
    x = 436,089.54/546.90
  6. Step 6: Final answer
    x = 797.38

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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.