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Finding the Fourth Proportional to 820.59, 1,231.39 and 528.28

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Solution

The fourth proportional to 820.59, 1,231.39 and 528.28 is: 792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.59 : 1,231.39 = 528.28 : x
  2. Step 2: Convert to fraction form
    820.59/1,231.39 = 528.28/x
  3. Step 3: Cross multiply
    820.59x = 1,231.39 × 528.28
  4. Step 4: Simplify right side
    820.59x = 650,518.71
  5. Step 5: Solve for x
    x = 650,518.71/820.59
  6. Step 6: Final answer
    x = 792.75

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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.