Home / 1,405.46-2,107.78-431.63

Finding the Fourth Proportional to 1,405.46, 2,107.78 and 431.63

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Solution

The fourth proportional to 1,405.46, 2,107.78 and 431.63 is: 647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.46 : 2,107.78 = 431.63 : x
  2. Step 2: Convert to fraction form
    1,405.46/2,107.78 = 431.63/x
  3. Step 3: Cross multiply
    1,405.46x = 2,107.78 × 431.63
  4. Step 4: Simplify right side
    1,405.46x = 909,785.27
  5. Step 5: Solve for x
    x = 909,785.27/1,405.46
  6. Step 6: Final answer
    x = 647.32

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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.