Home / 1,405.37-2,108.46-431.61

Finding the Fourth Proportional to 1,405.37, 2,108.46 and 431.61

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Solution

The fourth proportional to 1,405.37, 2,108.46 and 431.61 is: 647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.37 : 2,108.46 = 431.61 : x
  2. Step 2: Convert to fraction form
    1,405.37/2,108.46 = 431.61/x
  3. Step 3: Cross multiply
    1,405.37x = 2,108.46 × 431.61
  4. Step 4: Simplify right side
    1,405.37x = 910,030.26
  5. Step 5: Solve for x
    x = 910,030.26/1,405.37
  6. Step 6: Final answer
    x = 647.54

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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.