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Finding the Fourth Proportional to 558.25, 767.77 and 447.55

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Solution

The fourth proportional to 558.25, 767.77 and 447.55 is: 615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.25 : 767.77 = 447.55 : x
  2. Step 2: Convert to fraction form
    558.25/767.77 = 447.55/x
  3. Step 3: Cross multiply
    558.25x = 767.77 × 447.55
  4. Step 4: Simplify right side
    558.25x = 343,615.46
  5. Step 5: Solve for x
    x = 343,615.46/558.25
  6. Step 6: Final answer
    x = 615.52

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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.