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Finding the Fourth Proportional to 576.76, 796.64 and 568.12

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Solution

The fourth proportional to 576.76, 796.64 and 568.12 is: 784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.76 : 796.64 = 568.12 : x
  2. Step 2: Convert to fraction form
    576.76/796.64 = 568.12/x
  3. Step 3: Cross multiply
    576.76x = 796.64 × 568.12
  4. Step 4: Simplify right side
    576.76x = 452,587.12
  5. Step 5: Solve for x
    x = 452,587.12/576.76
  6. Step 6: Final answer
    x = 784.71

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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.