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Finding the Fourth Proportional to 570.78, 855.32 and 512.69

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Solution

The fourth proportional to 570.78, 855.32 and 512.69 is: 768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.78 : 855.32 = 512.69 : x
  2. Step 2: Convert to fraction form
    570.78/855.32 = 512.69/x
  3. Step 3: Cross multiply
    570.78x = 855.32 × 512.69
  4. Step 4: Simplify right side
    570.78x = 438,516.79
  5. Step 5: Solve for x
    x = 438,516.79/570.78
  6. Step 6: Final answer
    x = 768.27

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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.