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Finding the Fourth Proportional to 575.06, 861.44 and 436.49

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Solution

The fourth proportional to 575.06, 861.44 and 436.49 is: 653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.06 : 861.44 = 436.49 : x
  2. Step 2: Convert to fraction form
    575.06/861.44 = 436.49/x
  3. Step 3: Cross multiply
    575.06x = 861.44 × 436.49
  4. Step 4: Simplify right side
    575.06x = 376,003.46
  5. Step 5: Solve for x
    x = 376,003.46/575.06
  6. Step 6: Final answer
    x = 653.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.