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Finding the Fourth Proportional to 521.83, 785.79 and 385.83

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Solution

The fourth proportional to 521.83, 785.79 and 385.83 is: 581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.83 : 785.79 = 385.83 : x
  2. Step 2: Convert to fraction form
    521.83/785.79 = 385.83/x
  3. Step 3: Cross multiply
    521.83x = 785.79 × 385.83
  4. Step 4: Simplify right side
    521.83x = 303,185.75
  5. Step 5: Solve for x
    x = 303,185.75/521.83
  6. Step 6: Final answer
    x = 581.00

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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.