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Finding the Fourth Proportional to 579.26, 864.06 and 524.54

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Solution

The fourth proportional to 579.26, 864.06 and 524.54 is: 782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.26 : 864.06 = 524.54 : x
  2. Step 2: Convert to fraction form
    579.26/864.06 = 524.54/x
  3. Step 3: Cross multiply
    579.26x = 864.06 × 524.54
  4. Step 4: Simplify right side
    579.26x = 453,231.41
  5. Step 5: Solve for x
    x = 453,231.41/579.26
  6. Step 6: Final answer
    x = 782.43

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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.