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Finding the Fourth Proportional to 1,405.87, 2,108.33 and 665.37

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Solution

The fourth proportional to 1,405.87, 2,108.33 and 665.37 is: 997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.87 : 2,108.33 = 665.37 : x
  2. Step 2: Convert to fraction form
    1,405.87/2,108.33 = 665.37/x
  3. Step 3: Cross multiply
    1,405.87x = 2,108.33 × 665.37
  4. Step 4: Simplify right side
    1,405.87x = 1,402,816.21
  5. Step 5: Solve for x
    x = 1,402,816.21/1,405.87
  6. Step 6: Final answer
    x = 997.83

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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.