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Finding the Fourth Proportional to 576.78, 796.35 and 473.10

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Solution

The fourth proportional to 576.78, 796.35 and 473.10 is: 653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.78 : 796.35 = 473.10 : x
  2. Step 2: Convert to fraction form
    576.78/796.35 = 473.10/x
  3. Step 3: Cross multiply
    576.78x = 796.35 × 473.10
  4. Step 4: Simplify right side
    576.78x = 376,753.19
  5. Step 5: Solve for x
    x = 376,753.19/576.78
  6. Step 6: Final answer
    x = 653.20

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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.