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Finding the Fourth Proportional to 532.56, 734.64 and 322.80

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Solution

The fourth proportional to 532.56, 734.64 and 322.80 is: 445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.56 : 734.64 = 322.80 : x
  2. Step 2: Convert to fraction form
    532.56/734.64 = 322.80/x
  3. Step 3: Cross multiply
    532.56x = 734.64 × 322.80
  4. Step 4: Simplify right side
    532.56x = 237,141.79
  5. Step 5: Solve for x
    x = 237,141.79/532.56
  6. Step 6: Final answer
    x = 445.29

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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.