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Finding the Fourth Proportional to 552.73, 827.47 and 436.36

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Solution

The fourth proportional to 552.73, 827.47 and 436.36 is: 653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.73 : 827.47 = 436.36 : x
  2. Step 2: Convert to fraction form
    552.73/827.47 = 436.36/x
  3. Step 3: Cross multiply
    552.73x = 827.47 × 436.36
  4. Step 4: Simplify right side
    552.73x = 361,074.81
  5. Step 5: Solve for x
    x = 361,074.81/552.73
  6. Step 6: Final answer
    x = 653.26

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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.