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Finding the Fourth Proportional to 519.31, 715.99 and 332.46

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Solution

The fourth proportional to 519.31, 715.99 and 332.46 is: 458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.31 : 715.99 = 332.46 : x
  2. Step 2: Convert to fraction form
    519.31/715.99 = 332.46/x
  3. Step 3: Cross multiply
    519.31x = 715.99 × 332.46
  4. Step 4: Simplify right side
    519.31x = 238,036.37
  5. Step 5: Solve for x
    x = 238,036.37/519.31
  6. Step 6: Final answer
    x = 458.37

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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.