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Finding the Fourth Proportional to 576.41, 795.43 and 314.42

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Solution

The fourth proportional to 576.41, 795.43 and 314.42 is: 433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.41 : 795.43 = 314.42 : x
  2. Step 2: Convert to fraction form
    576.41/795.43 = 314.42/x
  3. Step 3: Cross multiply
    576.41x = 795.43 × 314.42
  4. Step 4: Simplify right side
    576.41x = 250,099.10
  5. Step 5: Solve for x
    x = 250,099.10/576.41
  6. Step 6: Final answer
    x = 433.89

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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.