Home / 1,631.54-2,447.30-398.92

Finding the Fourth Proportional to 1,631.54, 2,447.30 and 398.92

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Solution

The fourth proportional to 1,631.54, 2,447.30 and 398.92 is: 598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.54 : 2,447.30 = 398.92 : x
  2. Step 2: Convert to fraction form
    1,631.54/2,447.30 = 398.92/x
  3. Step 3: Cross multiply
    1,631.54x = 2,447.30 × 398.92
  4. Step 4: Simplify right side
    1,631.54x = 976,276.92
  5. Step 5: Solve for x
    x = 976,276.92/1,631.54
  6. Step 6: Final answer
    x = 598.38

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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.