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Finding the Fourth Proportional to 552.51, 762.39 and 404.88

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Solution

The fourth proportional to 552.51, 762.39 and 404.88 is: 558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.51 : 762.39 = 404.88 : x
  2. Step 2: Convert to fraction form
    552.51/762.39 = 404.88/x
  3. Step 3: Cross multiply
    552.51x = 762.39 × 404.88
  4. Step 4: Simplify right side
    552.51x = 308,676.46
  5. Step 5: Solve for x
    x = 308,676.46/552.51
  6. Step 6: Final answer
    x = 558.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.