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Finding the Fourth Proportional to 820.41, 1,132.58 and 556.25

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Solution

The fourth proportional to 820.41, 1,132.58 and 556.25 is: 767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.41 : 1,132.58 = 556.25 : x
  2. Step 2: Convert to fraction form
    820.41/1,132.58 = 556.25/x
  3. Step 3: Cross multiply
    820.41x = 1,132.58 × 556.25
  4. Step 4: Simplify right side
    820.41x = 629,993.35
  5. Step 5: Solve for x
    x = 629,993.35/820.41
  6. Step 6: Final answer
    x = 767.90

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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.