Home / 1,631.42-2,447.14-398.83

Finding the Fourth Proportional to 1,631.42, 2,447.14 and 398.83

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Solution

The fourth proportional to 1,631.42, 2,447.14 and 398.83 is: 598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.42 : 2,447.14 = 398.83 : x
  2. Step 2: Convert to fraction form
    1,631.42/2,447.14 = 398.83/x
  3. Step 3: Cross multiply
    1,631.42x = 2,447.14 × 398.83
  4. Step 4: Simplify right side
    1,631.42x = 975,996.83
  5. Step 5: Solve for x
    x = 975,996.83/1,631.42
  6. Step 6: Final answer
    x = 598.25

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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.