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Finding the Fourth Proportional to 820.33, 1,228.65 and 472.84

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Solution

The fourth proportional to 820.33, 1,228.65 and 472.84 is: 708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.33 : 1,228.65 = 472.84 : x
  2. Step 2: Convert to fraction form
    820.33/1,228.65 = 472.84/x
  3. Step 3: Cross multiply
    820.33x = 1,228.65 × 472.84
  4. Step 4: Simplify right side
    820.33x = 580,950.02
  5. Step 5: Solve for x
    x = 580,950.02/820.33
  6. Step 6: Final answer
    x = 708.19

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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.