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Finding the Fourth Proportional to 521.77, 719.96 and 335.43

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Solution

The fourth proportional to 521.77, 719.96 and 335.43 is: 462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.77 : 719.96 = 335.43 : x
  2. Step 2: Convert to fraction form
    521.77/719.96 = 335.43/x
  3. Step 3: Cross multiply
    521.77x = 719.96 × 335.43
  4. Step 4: Simplify right side
    521.77x = 241,496.18
  5. Step 5: Solve for x
    x = 241,496.18/521.77
  6. Step 6: Final answer
    x = 462.84

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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.