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Finding the Fourth Proportional to 552.95, 827.94 and 437.63

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Solution

The fourth proportional to 552.95, 827.94 and 437.63 is: 655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.95 : 827.94 = 437.63 : x
  2. Step 2: Convert to fraction form
    552.95/827.94 = 437.63/x
  3. Step 3: Cross multiply
    552.95x = 827.94 × 437.63
  4. Step 4: Simplify right side
    552.95x = 362,327.24
  5. Step 5: Solve for x
    x = 362,327.24/552.95
  6. Step 6: Final answer
    x = 655.27

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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.