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Finding the Fourth Proportional to 552.72, 827.68 and 357.40

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Solution

The fourth proportional to 552.72, 827.68 and 357.40 is: 535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.72 : 827.68 = 357.40 : x
  2. Step 2: Convert to fraction form
    552.72/827.68 = 357.40/x
  3. Step 3: Cross multiply
    552.72x = 827.68 × 357.40
  4. Step 4: Simplify right side
    552.72x = 295,812.83
  5. Step 5: Solve for x
    x = 295,812.83/552.72
  6. Step 6: Final answer
    x = 535.19

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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.