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Finding the Fourth Proportional to 532.62, 734.79 and 322.83

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Solution

The fourth proportional to 532.62, 734.79 and 322.83 is: 445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.62 : 734.79 = 322.83 : x
  2. Step 2: Convert to fraction form
    532.62/734.79 = 322.83/x
  3. Step 3: Cross multiply
    532.62x = 734.79 × 322.83
  4. Step 4: Simplify right side
    532.62x = 237,212.26
  5. Step 5: Solve for x
    x = 237,212.26/532.62
  6. Step 6: Final answer
    x = 445.37

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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.