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Finding the Fourth Proportional to 576.39, 794.07 and 477.84

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Solution

The fourth proportional to 576.39, 794.07 and 477.84 is: 658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.39 : 794.07 = 477.84 : x
  2. Step 2: Convert to fraction form
    576.39/794.07 = 477.84/x
  3. Step 3: Cross multiply
    576.39x = 794.07 × 477.84
  4. Step 4: Simplify right side
    576.39x = 379,438.41
  5. Step 5: Solve for x
    x = 379,438.41/576.39
  6. Step 6: Final answer
    x = 658.30

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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.