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Finding the Fourth Proportional to 521.85, 714.80 and 520.41

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Solution

The fourth proportional to 521.85, 714.80 and 520.41 is: 712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.85 : 714.80 = 520.41 : x
  2. Step 2: Convert to fraction form
    521.85/714.80 = 520.41/x
  3. Step 3: Cross multiply
    521.85x = 714.80 × 520.41
  4. Step 4: Simplify right side
    521.85x = 371,990.37
  5. Step 5: Solve for x
    x = 371,990.37/521.85
  6. Step 6: Final answer
    x = 712.83

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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.