Home / 1,631.24-2,447.54-706.31

Finding the Fourth Proportional to 1,631.24, 2,447.54 and 706.31

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Solution

The fourth proportional to 1,631.24, 2,447.54 and 706.31 is: 1,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.24 : 2,447.54 = 706.31 : x
  2. Step 2: Convert to fraction form
    1,631.24/2,447.54 = 706.31/x
  3. Step 3: Cross multiply
    1,631.24x = 2,447.54 × 706.31
  4. Step 4: Simplify right side
    1,631.24x = 1,728,706.21
  5. Step 5: Solve for x
    x = 1,728,706.21/1,631.24
  6. Step 6: Final answer
    x = 1,059.75

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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.