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Finding the Fourth Proportional to 576.41, 789.91 and 521.06

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Solution

The fourth proportional to 576.41, 789.91 and 521.06 is: 714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.41 : 789.91 = 521.06 : x
  2. Step 2: Convert to fraction form
    576.41/789.91 = 521.06/x
  3. Step 3: Cross multiply
    576.41x = 789.91 × 521.06
  4. Step 4: Simplify right side
    576.41x = 411,585.25
  5. Step 5: Solve for x
    x = 411,585.25/576.41
  6. Step 6: Final answer
    x = 714.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.