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Finding the Fourth Proportional to 521.96, 786.95 and 486.71

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Solution

The fourth proportional to 521.96, 786.95 and 486.71 is: 733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.96 : 786.95 = 486.71 : x
  2. Step 2: Convert to fraction form
    521.96/786.95 = 486.71/x
  3. Step 3: Cross multiply
    521.96x = 786.95 × 486.71
  4. Step 4: Simplify right side
    521.96x = 383,016.43
  5. Step 5: Solve for x
    x = 383,016.43/521.96
  6. Step 6: Final answer
    x = 733.80

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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.