Home / 1,601.25-2,401.57-431.30

Finding the Fourth Proportional to 1,601.25, 2,401.57 and 431.30

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Solution

The fourth proportional to 1,601.25, 2,401.57 and 431.30 is: 646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.25 : 2,401.57 = 431.30 : x
  2. Step 2: Convert to fraction form
    1,601.25/2,401.57 = 431.30/x
  3. Step 3: Cross multiply
    1,601.25x = 2,401.57 × 431.30
  4. Step 4: Simplify right side
    1,601.25x = 1,035,801.26
  5. Step 5: Solve for x
    x = 1,035,801.26/1,601.25
  6. Step 6: Final answer
    x = 646.87

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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.