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Finding the Fourth Proportional to 922.31, 1,272.67 and 529.32

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Solution

The fourth proportional to 922.31, 1,272.67 and 529.32 is: 730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.31 : 1,272.67 = 529.32 : x
  2. Step 2: Convert to fraction form
    922.31/1,272.67 = 529.32/x
  3. Step 3: Cross multiply
    922.31x = 1,272.67 × 529.32
  4. Step 4: Simplify right side
    922.31x = 673,649.68
  5. Step 5: Solve for x
    x = 673,649.68/922.31
  6. Step 6: Final answer
    x = 730.39

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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.