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Finding the Fourth Proportional to 552.84, 829.92 and 437.52

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Solution

The fourth proportional to 552.84, 829.92 and 437.52 is: 656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.84 : 829.92 = 437.52 : x
  2. Step 2: Convert to fraction form
    552.84/829.92 = 437.52/x
  3. Step 3: Cross multiply
    552.84x = 829.92 × 437.52
  4. Step 4: Simplify right side
    552.84x = 363,106.60
  5. Step 5: Solve for x
    x = 363,106.60/552.84
  6. Step 6: Final answer
    x = 656.80

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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.