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Finding the Fourth Proportional to 546.76, 814.73 and 525.88

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Solution

The fourth proportional to 546.76, 814.73 and 525.88 is: 783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.76 : 814.73 = 525.88 : x
  2. Step 2: Convert to fraction form
    546.76/814.73 = 525.88/x
  3. Step 3: Cross multiply
    546.76x = 814.73 × 525.88
  4. Step 4: Simplify right side
    546.76x = 428,450.21
  5. Step 5: Solve for x
    x = 428,450.21/546.76
  6. Step 6: Final answer
    x = 783.62

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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.