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Finding the Fourth Proportional to 542.46, 814.83 and 521.04

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Solution

The fourth proportional to 542.46, 814.83 and 521.04 is: 782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.46 : 814.83 = 521.04 : x
  2. Step 2: Convert to fraction form
    542.46/814.83 = 521.04/x
  3. Step 3: Cross multiply
    542.46x = 814.83 × 521.04
  4. Step 4: Simplify right side
    542.46x = 424,559.02
  5. Step 5: Solve for x
    x = 424,559.02/542.46
  6. Step 6: Final answer
    x = 782.65

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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.