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Finding the Fourth Proportional to 609.09, 835.13 and 577.77

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Solution

The fourth proportional to 609.09, 835.13 and 577.77 is: 792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.09 : 835.13 = 577.77 : x
  2. Step 2: Convert to fraction form
    609.09/835.13 = 577.77/x
  3. Step 3: Cross multiply
    609.09x = 835.13 × 577.77
  4. Step 4: Simplify right side
    609.09x = 482,510.17
  5. Step 5: Solve for x
    x = 482,510.17/609.09
  6. Step 6: Final answer
    x = 792.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.