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Finding the Fourth Proportional to 574.21, 861.75 and 420.54

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Solution

The fourth proportional to 574.21, 861.75 and 420.54 is: 631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.21 : 861.75 = 420.54 : x
  2. Step 2: Convert to fraction form
    574.21/861.75 = 420.54/x
  3. Step 3: Cross multiply
    574.21x = 861.75 × 420.54
  4. Step 4: Simplify right side
    574.21x = 362,401.16
  5. Step 5: Solve for x
    x = 362,401.16/574.21
  6. Step 6: Final answer
    x = 631.13

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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.