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Finding the Fourth Proportional to 521.83, 719.89 and 335.26

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Solution

The fourth proportional to 521.83, 719.89 and 335.26 is: 462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.83 : 719.89 = 335.26 : x
  2. Step 2: Convert to fraction form
    521.83/719.89 = 335.26/x
  3. Step 3: Cross multiply
    521.83x = 719.89 × 335.26
  4. Step 4: Simplify right side
    521.83x = 241,350.32
  5. Step 5: Solve for x
    x = 241,350.32/521.83
  6. Step 6: Final answer
    x = 462.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.