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Finding the Fourth Proportional to 521.43, 719.55 and 285.39

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Solution

The fourth proportional to 521.43, 719.55 and 285.39 is: 393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.43 : 719.55 = 285.39 : x
  2. Step 2: Convert to fraction form
    521.43/719.55 = 285.39/x
  3. Step 3: Cross multiply
    521.43x = 719.55 × 285.39
  4. Step 4: Simplify right side
    521.43x = 205,352.37
  5. Step 5: Solve for x
    x = 205,352.37/521.43
  6. Step 6: Final answer
    x = 393.83

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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.