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Finding the Fourth Proportional to 577.32, 792.05 and 549.78

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Solution

The fourth proportional to 577.32, 792.05 and 549.78 is: 754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.32 : 792.05 = 549.78 : x
  2. Step 2: Convert to fraction form
    577.32/792.05 = 549.78/x
  3. Step 3: Cross multiply
    577.32x = 792.05 × 549.78
  4. Step 4: Simplify right side
    577.32x = 435,450.50
  5. Step 5: Solve for x
    x = 435,450.50/577.32
  6. Step 6: Final answer
    x = 754.26

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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.