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Finding the Fourth Proportional to 789.32, 1,180.32 and 570.62

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Solution

The fourth proportional to 789.32, 1,180.32 and 570.62 is: 853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.32 : 1,180.32 = 570.62 : x
  2. Step 2: Convert to fraction form
    789.32/1,180.32 = 570.62/x
  3. Step 3: Cross multiply
    789.32x = 1,180.32 × 570.62
  4. Step 4: Simplify right side
    789.32x = 673,514.20
  5. Step 5: Solve for x
    x = 673,514.20/789.32
  6. Step 6: Final answer
    x = 853.28

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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.