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Finding the Fourth Proportional to 576.64, 795.54 and 343.78

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Solution

The fourth proportional to 576.64, 795.54 and 343.78 is: 474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.64 : 795.54 = 343.78 : x
  2. Step 2: Convert to fraction form
    576.64/795.54 = 343.78/x
  3. Step 3: Cross multiply
    576.64x = 795.54 × 343.78
  4. Step 4: Simplify right side
    576.64x = 273,490.74
  5. Step 5: Solve for x
    x = 273,490.74/576.64
  6. Step 6: Final answer
    x = 474.28

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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.