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Finding the Fourth Proportional to 921.72, 1,272.42 and 572.62

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Solution

The fourth proportional to 921.72, 1,272.42 and 572.62 is: 790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.72 : 1,272.42 = 572.62 : x
  2. Step 2: Convert to fraction form
    921.72/1,272.42 = 572.62/x
  3. Step 3: Cross multiply
    921.72x = 1,272.42 × 572.62
  4. Step 4: Simplify right side
    921.72x = 728,613.14
  5. Step 5: Solve for x
    x = 728,613.14/921.72
  6. Step 6: Final answer
    x = 790.49

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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.