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Finding the Fourth Proportional to 535.49, 738.76 and 328.61

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Solution

The fourth proportional to 535.49, 738.76 and 328.61 is: 453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.49 : 738.76 = 328.61 : x
  2. Step 2: Convert to fraction form
    535.49/738.76 = 328.61/x
  3. Step 3: Cross multiply
    535.49x = 738.76 × 328.61
  4. Step 4: Simplify right side
    535.49x = 242,763.92
  5. Step 5: Solve for x
    x = 242,763.92/535.49
  6. Step 6: Final answer
    x = 453.35

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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.