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Finding the Fourth Proportional to 820.91, 1,132.83 and 466.83

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Solution

The fourth proportional to 820.91, 1,132.83 and 466.83 is: 644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.91 : 1,132.83 = 466.83 : x
  2. Step 2: Convert to fraction form
    820.91/1,132.83 = 466.83/x
  3. Step 3: Cross multiply
    820.91x = 1,132.83 × 466.83
  4. Step 4: Simplify right side
    820.91x = 528,839.03
  5. Step 5: Solve for x
    x = 528,839.03/820.91
  6. Step 6: Final answer
    x = 644.21

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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.