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Finding the Fourth Proportional to 521.89, 786.76 and 486.66

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Solution

The fourth proportional to 521.89, 786.76 and 486.66 is: 733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.89 : 786.76 = 486.66 : x
  2. Step 2: Convert to fraction form
    521.89/786.76 = 486.66/x
  3. Step 3: Cross multiply
    521.89x = 786.76 × 486.66
  4. Step 4: Simplify right side
    521.89x = 382,884.62
  5. Step 5: Solve for x
    x = 382,884.62/521.89
  6. Step 6: Final answer
    x = 733.65

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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.