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Finding the Fourth Proportional to 547.80, 814.52 and 525.94

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Solution

The fourth proportional to 547.80, 814.52 and 525.94 is: 782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.80 : 814.52 = 525.94 : x
  2. Step 2: Convert to fraction form
    547.80/814.52 = 525.94/x
  3. Step 3: Cross multiply
    547.80x = 814.52 × 525.94
  4. Step 4: Simplify right side
    547.80x = 428,388.65
  5. Step 5: Solve for x
    x = 428,388.65/547.80
  6. Step 6: Final answer
    x = 782.02

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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.