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Finding the Fourth Proportional to 552.45, 829.31 and 437.28

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Solution

The fourth proportional to 552.45, 829.31 and 437.28 is: 656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.45 : 829.31 = 437.28 : x
  2. Step 2: Convert to fraction form
    552.45/829.31 = 437.28/x
  3. Step 3: Cross multiply
    552.45x = 829.31 × 437.28
  4. Step 4: Simplify right side
    552.45x = 362,641.77
  5. Step 5: Solve for x
    x = 362,641.77/552.45
  6. Step 6: Final answer
    x = 656.42

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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.