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Finding the Fourth Proportional to 570.26, 855.76 and 523.79

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Solution

The fourth proportional to 570.26, 855.76 and 523.79 is: 786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.26 : 855.76 = 523.79 : x
  2. Step 2: Convert to fraction form
    570.26/855.76 = 523.79/x
  3. Step 3: Cross multiply
    570.26x = 855.76 × 523.79
  4. Step 4: Simplify right side
    570.26x = 448,232.94
  5. Step 5: Solve for x
    x = 448,232.94/570.26
  6. Step 6: Final answer
    x = 786.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.