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Finding the Fourth Proportional to 523.26, 720.45 and 474.66

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Solution

The fourth proportional to 523.26, 720.45 and 474.66 is: 653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.26 : 720.45 = 474.66 : x
  2. Step 2: Convert to fraction form
    523.26/720.45 = 474.66/x
  3. Step 3: Cross multiply
    523.26x = 720.45 × 474.66
  4. Step 4: Simplify right side
    523.26x = 341,968.80
  5. Step 5: Solve for x
    x = 341,968.80/523.26
  6. Step 6: Final answer
    x = 653.54

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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.