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Finding the Fourth Proportional to 922, 1,272.48 and 528.96

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Solution

The fourth proportional to 922, 1,272.48 and 528.96 is: 730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    922 : 1,272.48 = 528.96 : x
  2. Step 2: Convert to fraction form
    922/1,272.48 = 528.96/x
  3. Step 3: Cross multiply
    922x = 1,272.48 × 528.96
  4. Step 4: Simplify right side
    922x = 673,091.02
  5. Step 5: Solve for x
    x = 673,091.02/922
  6. Step 6: Final answer
    x = 730.03

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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.