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Finding the Fourth Proportional to 552.31, 827.69 and 430.03

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Solution

The fourth proportional to 552.31, 827.69 and 430.03 is: 644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.31 : 827.69 = 430.03 : x
  2. Step 2: Convert to fraction form
    552.31/827.69 = 430.03/x
  3. Step 3: Cross multiply
    552.31x = 827.69 × 430.03
  4. Step 4: Simplify right side
    552.31x = 355,929.38
  5. Step 5: Solve for x
    x = 355,929.38/552.31
  6. Step 6: Final answer
    x = 644.44

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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.