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Finding the Fourth Proportional to 577.89, 792.72 and 563.49

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Solution

The fourth proportional to 577.89, 792.72 and 563.49 is: 772.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.89 : 792.72 = 563.49 : x
  2. Step 2: Convert to fraction form
    577.89/792.72 = 563.49/x
  3. Step 3: Cross multiply
    577.89x = 792.72 × 563.49
  4. Step 4: Simplify right side
    577.89x = 446,689.79
  5. Step 5: Solve for x
    x = 446,689.79/577.89
  6. Step 6: Final answer
    x = 772.97

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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.