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Finding the Fourth Proportional to 521.56, 783.56 and 305.29

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Solution

The fourth proportional to 521.56, 783.56 and 305.29 is: 458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.56 : 783.56 = 305.29 : x
  2. Step 2: Convert to fraction form
    521.56/783.56 = 305.29/x
  3. Step 3: Cross multiply
    521.56x = 783.56 × 305.29
  4. Step 4: Simplify right side
    521.56x = 239,213.03
  5. Step 5: Solve for x
    x = 239,213.03/521.56
  6. Step 6: Final answer
    x = 458.65

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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.