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Finding the Fourth Proportional to 922.45, 1,272.97 and 529.47

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Solution

The fourth proportional to 922.45, 1,272.97 and 529.47 is: 730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.45 : 1,272.97 = 529.47 : x
  2. Step 2: Convert to fraction form
    922.45/1,272.97 = 529.47/x
  3. Step 3: Cross multiply
    922.45x = 1,272.97 × 529.47
  4. Step 4: Simplify right side
    922.45x = 673,999.43
  5. Step 5: Solve for x
    x = 673,999.43/922.45
  6. Step 6: Final answer
    x = 730.66

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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.