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Finding the Fourth Proportional to 521.27, 785.80 and 486.89

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Solution

The fourth proportional to 521.27, 785.80 and 486.89 is: 733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.27 : 785.80 = 486.89 : x
  2. Step 2: Convert to fraction form
    521.27/785.80 = 486.89/x
  3. Step 3: Cross multiply
    521.27x = 785.80 × 486.89
  4. Step 4: Simplify right side
    521.27x = 382,595.73
  5. Step 5: Solve for x
    x = 382,595.73/521.27
  6. Step 6: Final answer
    x = 733.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.