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Finding the Fourth Proportional to 523.94, 720.70 and 461.36

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Solution

The fourth proportional to 523.94, 720.70 and 461.36 is: 634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.94 : 720.70 = 461.36 : x
  2. Step 2: Convert to fraction form
    523.94/720.70 = 461.36/x
  3. Step 3: Cross multiply
    523.94x = 720.70 × 461.36
  4. Step 4: Simplify right side
    523.94x = 332,502.80
  5. Step 5: Solve for x
    x = 332,502.80/523.94
  6. Step 6: Final answer
    x = 634.63

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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.