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Finding the Fourth Proportional to 532.25, 734.57 and 322.50

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Solution

The fourth proportional to 532.25, 734.57 and 322.50 is: 445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.25 : 734.57 = 322.50 : x
  2. Step 2: Convert to fraction form
    532.25/734.57 = 322.50/x
  3. Step 3: Cross multiply
    532.25x = 734.57 × 322.50
  4. Step 4: Simplify right side
    532.25x = 236,898.83
  5. Step 5: Solve for x
    x = 236,898.83/532.25
  6. Step 6: Final answer
    x = 445.09

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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.