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Finding the Fourth Proportional to 655.82, 980.79 and 583.14

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Solution

The fourth proportional to 655.82, 980.79 and 583.14 is: 872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.82 : 980.79 = 583.14 : x
  2. Step 2: Convert to fraction form
    655.82/980.79 = 583.14/x
  3. Step 3: Cross multiply
    655.82x = 980.79 × 583.14
  4. Step 4: Simplify right side
    655.82x = 571,937.88
  5. Step 5: Solve for x
    x = 571,937.88/655.82
  6. Step 6: Final answer
    x = 872.10

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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.