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Finding the Fourth Proportional to 575.12, 861.28 and 546.41

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Solution

The fourth proportional to 575.12, 861.28 and 546.41 is: 818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.12 : 861.28 = 546.41 : x
  2. Step 2: Convert to fraction form
    575.12/861.28 = 546.41/x
  3. Step 3: Cross multiply
    575.12x = 861.28 × 546.41
  4. Step 4: Simplify right side
    575.12x = 470,606.33
  5. Step 5: Solve for x
    x = 470,606.33/575.12
  6. Step 6: Final answer
    x = 818.28

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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.