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Finding the Fourth Proportional to 738.84, 1,108.44 and 328.11

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Solution

The fourth proportional to 738.84, 1,108.44 and 328.11 is: 492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.84 : 1,108.44 = 328.11 : x
  2. Step 2: Convert to fraction form
    738.84/1,108.44 = 328.11/x
  3. Step 3: Cross multiply
    738.84x = 1,108.44 × 328.11
  4. Step 4: Simplify right side
    738.84x = 363,690.25
  5. Step 5: Solve for x
    x = 363,690.25/738.84
  6. Step 6: Final answer
    x = 492.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.