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Finding the Fourth Proportional to 547.85, 754.53 and 499.25

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Solution

The fourth proportional to 547.85, 754.53 and 499.25 is: 687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.85 : 754.53 = 499.25 : x
  2. Step 2: Convert to fraction form
    547.85/754.53 = 499.25/x
  3. Step 3: Cross multiply
    547.85x = 754.53 × 499.25
  4. Step 4: Simplify right side
    547.85x = 376,699.10
  5. Step 5: Solve for x
    x = 376,699.10/547.85
  6. Step 6: Final answer
    x = 687.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.