Home / 1,605.24-2,408.94-631.23

Finding the Fourth Proportional to 1,605.24, 2,408.94 and 631.23

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Solution

The fourth proportional to 1,605.24, 2,408.94 and 631.23 is: 947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.24 : 2,408.94 = 631.23 : x
  2. Step 2: Convert to fraction form
    1,605.24/2,408.94 = 631.23/x
  3. Step 3: Cross multiply
    1,605.24x = 2,408.94 × 631.23
  4. Step 4: Simplify right side
    1,605.24x = 1,520,595.20
  5. Step 5: Solve for x
    x = 1,520,595.20/1,605.24
  6. Step 6: Final answer
    x = 947.27

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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.