Home / 1,601.29-2,401.75-431.38

Finding the Fourth Proportional to 1,601.29, 2,401.75 and 431.38

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Solution

The fourth proportional to 1,601.29, 2,401.75 and 431.38 is: 647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.29 : 2,401.75 = 431.38 : x
  2. Step 2: Convert to fraction form
    1,601.29/2,401.75 = 431.38/x
  3. Step 3: Cross multiply
    1,601.29x = 2,401.75 × 431.38
  4. Step 4: Simplify right side
    1,601.29x = 1,036,058.45
  5. Step 5: Solve for x
    x = 1,036,058.45/1,601.29
  6. Step 6: Final answer
    x = 647.02

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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.