Home / 1,405.50-2,108.28-431.69

Finding the Fourth Proportional to 1,405.50, 2,108.28 and 431.69

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Solution

The fourth proportional to 1,405.50, 2,108.28 and 431.69 is: 647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.50 : 2,108.28 = 431.69 : x
  2. Step 2: Convert to fraction form
    1,405.50/2,108.28 = 431.69/x
  3. Step 3: Cross multiply
    1,405.50x = 2,108.28 × 431.69
  4. Step 4: Simplify right side
    1,405.50x = 910,112.85
  5. Step 5: Solve for x
    x = 910,112.85/1,405.50
  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.