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Finding the Fourth Proportional to 524.97, 720.20 and 491.85

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Solution

The fourth proportional to 524.97, 720.20 and 491.85 is: 674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.97 : 720.20 = 491.85 : x
  2. Step 2: Convert to fraction form
    524.97/720.20 = 491.85/x
  3. Step 3: Cross multiply
    524.97x = 720.20 × 491.85
  4. Step 4: Simplify right side
    524.97x = 354,231.60
  5. Step 5: Solve for x
    x = 354,231.60/524.97
  6. Step 6: Final answer
    x = 674.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.