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Finding the Fourth Proportional to 521.83, 719.70 and 335.32

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Solution

The fourth proportional to 521.83, 719.70 and 335.32 is: 462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.83 : 719.70 = 335.32 : x
  2. Step 2: Convert to fraction form
    521.83/719.70 = 335.32/x
  3. Step 3: Cross multiply
    521.83x = 719.70 × 335.32
  4. Step 4: Simplify right side
    521.83x = 241,329.80
  5. Step 5: Solve for x
    x = 241,329.80/521.83
  6. Step 6: Final answer
    x = 462.47

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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.