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Finding the Fourth Proportional to 576.42, 795.44 and 355.40

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Solution

The fourth proportional to 576.42, 795.44 and 355.40 is: 490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.42 : 795.44 = 355.40 : x
  2. Step 2: Convert to fraction form
    576.42/795.44 = 355.40/x
  3. Step 3: Cross multiply
    576.42x = 795.44 × 355.40
  4. Step 4: Simplify right side
    576.42x = 282,693.62
  5. Step 5: Solve for x
    x = 282,693.62/576.42
  6. Step 6: Final answer
    x = 490.43

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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.