Home / 2,431.30-3,647.58-765.40

Finding the Fourth Proportional to 2,431.30, 3,647.58 and 765.40

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Solution

The fourth proportional to 2,431.30, 3,647.58 and 765.40 is: 1,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.30 : 3,647.58 = 765.40 : x
  2. Step 2: Convert to fraction form
    2,431.30/3,647.58 = 765.40/x
  3. Step 3: Cross multiply
    2,431.30x = 3,647.58 × 765.40
  4. Step 4: Simplify right side
    2,431.30x = 2,791,857.73
  5. Step 5: Solve for x
    x = 2,791,857.73/2,431.30
  6. Step 6: Final answer
    x = 1,148.30

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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.