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Finding the Fourth Proportional to 855.45, 1,180.32 and 571.31

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Solution

The fourth proportional to 855.45, 1,180.32 and 571.31 is: 788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.45 : 1,180.32 = 571.31 : x
  2. Step 2: Convert to fraction form
    855.45/1,180.32 = 571.31/x
  3. Step 3: Cross multiply
    855.45x = 1,180.32 × 571.31
  4. Step 4: Simplify right side
    855.45x = 674,325.76
  5. Step 5: Solve for x
    x = 674,325.76/855.45
  6. Step 6: Final answer
    x = 788.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.