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Finding the Fourth Proportional to 655.59, 906.15 and 576.32

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Solution

The fourth proportional to 655.59, 906.15 and 576.32 is: 796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.59 : 906.15 = 576.32 : x
  2. Step 2: Convert to fraction form
    655.59/906.15 = 576.32/x
  3. Step 3: Cross multiply
    655.59x = 906.15 × 576.32
  4. Step 4: Simplify right side
    655.59x = 522,227.84
  5. Step 5: Solve for x
    x = 522,227.84/655.59
  6. Step 6: Final answer
    x = 796.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.