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Finding the Fourth Proportional to 532.61, 734.73 and 322.80

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Solution

The fourth proportional to 532.61, 734.73 and 322.80 is: 445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.61 : 734.73 = 322.80 : x
  2. Step 2: Convert to fraction form
    532.61/734.73 = 322.80/x
  3. Step 3: Cross multiply
    532.61x = 734.73 × 322.80
  4. Step 4: Simplify right side
    532.61x = 237,170.84
  5. Step 5: Solve for x
    x = 237,170.84/532.61
  6. Step 6: Final answer
    x = 445.30

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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.