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Finding the Fourth Proportional to 521.79, 780.85 and 492.19

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Solution

The fourth proportional to 521.79, 780.85 and 492.19 is: 736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.79 : 780.85 = 492.19 : x
  2. Step 2: Convert to fraction form
    521.79/780.85 = 492.19/x
  3. Step 3: Cross multiply
    521.79x = 780.85 × 492.19
  4. Step 4: Simplify right side
    521.79x = 384,326.56
  5. Step 5: Solve for x
    x = 384,326.56/521.79
  6. Step 6: Final answer
    x = 736.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.