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Finding the Fourth Proportional to 655.12, 980.56 and 459.88

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Solution

The fourth proportional to 655.12, 980.56 and 459.88 is: 688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.12 : 980.56 = 459.88 : x
  2. Step 2: Convert to fraction form
    655.12/980.56 = 459.88/x
  3. Step 3: Cross multiply
    655.12x = 980.56 × 459.88
  4. Step 4: Simplify right side
    655.12x = 450,939.93
  5. Step 5: Solve for x
    x = 450,939.93/655.12
  6. Step 6: Final answer
    x = 688.33

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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.