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Finding the Fourth Proportional to 552.08, 762.01 and 404.46

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Solution

The fourth proportional to 552.08, 762.01 and 404.46 is: 558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.08 : 762.01 = 404.46 : x
  2. Step 2: Convert to fraction form
    552.08/762.01 = 404.46/x
  3. Step 3: Cross multiply
    552.08x = 762.01 × 404.46
  4. Step 4: Simplify right side
    552.08x = 308,201.55
  5. Step 5: Solve for x
    x = 308,201.55/552.08
  6. Step 6: Final answer
    x = 558.25

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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.