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Finding the Fourth Proportional to 765.26, 1,144.38 and 570.39

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Solution

The fourth proportional to 765.26, 1,144.38 and 570.39 is: 852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.26 : 1,144.38 = 570.39 : x
  2. Step 2: Convert to fraction form
    765.26/1,144.38 = 570.39/x
  3. Step 3: Cross multiply
    765.26x = 1,144.38 × 570.39
  4. Step 4: Simplify right side
    765.26x = 652,742.91
  5. Step 5: Solve for x
    x = 652,742.91/765.26
  6. Step 6: Final answer
    x = 852.97

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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.