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Finding the Fourth Proportional to 575.18, 861.62 and 420.34

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Solution

The fourth proportional to 575.18, 861.62 and 420.34 is: 629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.18 : 861.62 = 420.34 : x
  2. Step 2: Convert to fraction form
    575.18/861.62 = 420.34/x
  3. Step 3: Cross multiply
    575.18x = 861.62 × 420.34
  4. Step 4: Simplify right side
    575.18x = 362,173.35
  5. Step 5: Solve for x
    x = 362,173.35/575.18
  6. Step 6: Final answer
    x = 629.67

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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.