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Finding the Fourth Proportional to 1,605.21, 2,408.82 and 631.29

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Solution

The fourth proportional to 1,605.21, 2,408.82 and 631.29 is: 947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.21 : 2,408.82 = 631.29 : x
  2. Step 2: Convert to fraction form
    1,605.21/2,408.82 = 631.29/x
  3. Step 3: Cross multiply
    1,605.21x = 2,408.82 × 631.29
  4. Step 4: Simplify right side
    1,605.21x = 1,520,663.98
  5. Step 5: Solve for x
    x = 1,520,663.98/1,605.21
  6. Step 6: Final answer
    x = 947.33

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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.