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Finding the Fourth Proportional to 655.75, 906.69 and 581.77

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Solution

The fourth proportional to 655.75, 906.69 and 581.77 is: 804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.75 : 906.69 = 581.77 : x
  2. Step 2: Convert to fraction form
    655.75/906.69 = 581.77/x
  3. Step 3: Cross multiply
    655.75x = 906.69 × 581.77
  4. Step 4: Simplify right side
    655.75x = 527,485.04
  5. Step 5: Solve for x
    x = 527,485.04/655.75
  6. Step 6: Final answer
    x = 804.40

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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.