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Finding the Fourth Proportional to 655.13, 981.74 and 330.05

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Solution

The fourth proportional to 655.13, 981.74 and 330.05 is: 494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.13 : 981.74 = 330.05 : x
  2. Step 2: Convert to fraction form
    655.13/981.74 = 330.05/x
  3. Step 3: Cross multiply
    655.13x = 981.74 × 330.05
  4. Step 4: Simplify right side
    655.13x = 324,026.57
  5. Step 5: Solve for x
    x = 324,026.57/655.13
  6. Step 6: Final answer
    x = 494.60

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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.