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Finding the Fourth Proportional to 653.84, 981.10 and 329.30

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Solution

The fourth proportional to 653.84, 981.10 and 329.30 is: 494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.84 : 981.10 = 329.30 : x
  2. Step 2: Convert to fraction form
    653.84/981.10 = 329.30/x
  3. Step 3: Cross multiply
    653.84x = 981.10 × 329.30
  4. Step 4: Simplify right side
    653.84x = 323,076.23
  5. Step 5: Solve for x
    x = 323,076.23/653.84
  6. Step 6: Final answer
    x = 494.12

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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.