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Finding the Fourth Proportional to 820.51, 1,132.22 and 505.73

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Solution

The fourth proportional to 820.51, 1,132.22 and 505.73 is: 697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.51 : 1,132.22 = 505.73 : x
  2. Step 2: Convert to fraction form
    820.51/1,132.22 = 505.73/x
  3. Step 3: Cross multiply
    820.51x = 1,132.22 × 505.73
  4. Step 4: Simplify right side
    820.51x = 572,597.62
  5. Step 5: Solve for x
    x = 572,597.62/820.51
  6. Step 6: Final answer
    x = 697.86

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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.