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Finding the Fourth Proportional to 552.47, 832.82 and 506.34

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Solution

The fourth proportional to 552.47, 832.82 and 506.34 is: 763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.47 : 832.82 = 506.34 : x
  2. Step 2: Convert to fraction form
    552.47/832.82 = 506.34/x
  3. Step 3: Cross multiply
    552.47x = 832.82 × 506.34
  4. Step 4: Simplify right side
    552.47x = 421,687.55
  5. Step 5: Solve for x
    x = 421,687.55/552.47
  6. Step 6: Final answer
    x = 763.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.