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Finding the Fourth Proportional to 570.26, 851.30 and 519.23

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Solution

The fourth proportional to 570.26, 851.30 and 519.23 is: 775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.26 : 851.30 = 519.23 : x
  2. Step 2: Convert to fraction form
    570.26/851.30 = 519.23/x
  3. Step 3: Cross multiply
    570.26x = 851.30 × 519.23
  4. Step 4: Simplify right side
    570.26x = 442,013.65
  5. Step 5: Solve for x
    x = 442,013.65/570.26
  6. Step 6: Final answer
    x = 775.12

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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.