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Finding the Fourth Proportional to 465.76, 642.59 and 332.99

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Solution

The fourth proportional to 465.76, 642.59 and 332.99 is: 459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.76 : 642.59 = 332.99 : x
  2. Step 2: Convert to fraction form
    465.76/642.59 = 332.99/x
  3. Step 3: Cross multiply
    465.76x = 642.59 × 332.99
  4. Step 4: Simplify right side
    465.76x = 213,975.99
  5. Step 5: Solve for x
    x = 213,975.99/465.76
  6. Step 6: Final answer
    x = 459.42

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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.